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Finding the Fourth Proportional to 14,700.92, 20,285.34 and 9,038.60

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Solution

The fourth proportional to 14,700.92, 20,285.34 and 9,038.60 is: 12,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.92 : 20,285.34 = 9,038.60 : x
  2. Step 2: Convert to fraction form
    14,700.92/20,285.34 = 9,038.60/x
  3. Step 3: Cross multiply
    14,700.92x = 20,285.34 × 9,038.60
  4. Step 4: Simplify right side
    14,700.92x = 183,351,074.12
  5. Step 5: Solve for x
    x = 183,351,074.12/14,700.92
  6. Step 6: Final answer
    x = 12,472.08

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