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Finding the Fourth Proportional to 14,698.92, 20,287.72 and 9,038.54

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Solution

The fourth proportional to 14,698.92, 20,287.72 and 9,038.54 is: 12,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.92 : 20,287.72 = 9,038.54 : x
  2. Step 2: Convert to fraction form
    14,698.92/20,287.72 = 9,038.54/x
  3. Step 3: Cross multiply
    14,698.92x = 20,287.72 × 9,038.54
  4. Step 4: Simplify right side
    14,698.92x = 183,371,295.41
  5. Step 5: Solve for x
    x = 183,371,295.41/14,698.92
  6. Step 6: Final answer
    x = 12,475.15

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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.