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Finding the Fourth Proportional to 23,210.78, 32,030.98 and 13,141.16

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Solution

The fourth proportional to 23,210.78, 32,030.98 and 13,141.16 is: 18,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.78 : 32,030.98 = 13,141.16 : x
  2. Step 2: Convert to fraction form
    23,210.78/32,030.98 = 13,141.16/x
  3. Step 3: Cross multiply
    23,210.78x = 32,030.98 × 13,141.16
  4. Step 4: Simplify right side
    23,210.78x = 420,924,233.14
  5. Step 5: Solve for x
    x = 420,924,233.14/23,210.78
  6. Step 6: Final answer
    x = 18,134.86

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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.