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Finding the Fourth Proportional to 15,646.61, 23,472.96 and 6,881.49

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Solution

The fourth proportional to 15,646.61, 23,472.96 and 6,881.49 is: 10,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.61 : 23,472.96 = 6,881.49 : x
  2. Step 2: Convert to fraction form
    15,646.61/23,472.96 = 6,881.49/x
  3. Step 3: Cross multiply
    15,646.61x = 23,472.96 × 6,881.49
  4. Step 4: Simplify right side
    15,646.61x = 161,528,939.51
  5. Step 5: Solve for x
    x = 161,528,939.51/15,646.61
  6. Step 6: Final answer
    x = 10,323.58

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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.