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Finding the Fourth Proportional to 14,312.92, 19,710.90 and 14,007.64

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Solution

The fourth proportional to 14,312.92, 19,710.90 and 14,007.64 is: 19,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.92 : 19,710.90 = 14,007.64 : x
  2. Step 2: Convert to fraction form
    14,312.92/19,710.90 = 14,007.64/x
  3. Step 3: Cross multiply
    14,312.92x = 19,710.90 × 14,007.64
  4. Step 4: Simplify right side
    14,312.92x = 276,103,191.28
  5. Step 5: Solve for x
    x = 276,103,191.28/14,312.92
  6. Step 6: Final answer
    x = 19,290.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.