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Finding the Fourth Proportional to 27,008.64, 40,521.60 and 14,688

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Solution

The fourth proportional to 27,008.64, 40,521.60 and 14,688 is: 22,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008.64 : 40,521.60 = 14,688 : x
  2. Step 2: Convert to fraction form
    27,008.64/40,521.60 = 14,688/x
  3. Step 3: Cross multiply
    27,008.64x = 40,521.60 × 14,688
  4. Step 4: Simplify right side
    27,008.64x = 595,181,260.80
  5. Step 5: Solve for x
    x = 595,181,260.80/27,008.64
  6. Step 6: Final answer
    x = 22,036.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.