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Finding the Fourth Proportional to 12,059.16, 16,641.50 and 7,024.20

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Solution

The fourth proportional to 12,059.16, 16,641.50 and 7,024.20 is: 9,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.16 : 16,641.50 = 7,024.20 : x
  2. Step 2: Convert to fraction form
    12,059.16/16,641.50 = 7,024.20/x
  3. Step 3: Cross multiply
    12,059.16x = 16,641.50 × 7,024.20
  4. Step 4: Simplify right side
    12,059.16x = 116,893,189.18
  5. Step 5: Solve for x
    x = 116,893,189.18/12,059.16
  6. Step 6: Final answer
    x = 9,693.31

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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.