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Finding the Fourth Proportional to 14,497.58, 20,005.70 and 8,123.15

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Solution

The fourth proportional to 14,497.58, 20,005.70 and 8,123.15 is: 11,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.58 : 20,005.70 = 8,123.15 : x
  2. Step 2: Convert to fraction form
    14,497.58/20,005.70 = 8,123.15/x
  3. Step 3: Cross multiply
    14,497.58x = 20,005.70 × 8,123.15
  4. Step 4: Simplify right side
    14,497.58x = 162,509,161.31
  5. Step 5: Solve for x
    x = 162,509,161.31/14,497.58
  6. Step 6: Final answer
    x = 11,209.40

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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.