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Finding the Fourth Proportional to 14,002.92, 19,315.88 and 8,965.32

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Solution

The fourth proportional to 14,002.92, 19,315.88 and 8,965.32 is: 12,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.92 : 19,315.88 = 8,965.32 : x
  2. Step 2: Convert to fraction form
    14,002.92/19,315.88 = 8,965.32/x
  3. Step 3: Cross multiply
    14,002.92x = 19,315.88 × 8,965.32
  4. Step 4: Simplify right side
    14,002.92x = 173,173,000.46
  5. Step 5: Solve for x
    x = 173,173,000.46/14,002.92
  6. Step 6: Final answer
    x = 12,366.92

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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.