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Finding the Fourth Proportional to 23,616.81, 32,606.87 and 14,677.65

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Solution

The fourth proportional to 23,616.81, 32,606.87 and 14,677.65 is: 20,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.81 : 32,606.87 = 14,677.65 : x
  2. Step 2: Convert to fraction form
    23,616.81/32,606.87 = 14,677.65/x
  3. Step 3: Cross multiply
    23,616.81x = 32,606.87 × 14,677.65
  4. Step 4: Simplify right side
    23,616.81x = 478,592,152.07
  5. Step 5: Solve for x
    x = 478,592,152.07/23,616.81
  6. Step 6: Final answer
    x = 20,264.89

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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.