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Finding the Fourth Proportional to 21,463.68, 29,618.88 and 12,032

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Solution

The fourth proportional to 21,463.68, 29,618.88 and 12,032 is: 16,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.68 : 29,618.88 = 12,032 : x
  2. Step 2: Convert to fraction form
    21,463.68/29,618.88 = 12,032/x
  3. Step 3: Cross multiply
    21,463.68x = 29,618.88 × 12,032
  4. Step 4: Simplify right side
    21,463.68x = 356,374,364.16
  5. Step 5: Solve for x
    x = 356,374,364.16/21,463.68
  6. Step 6: Final answer
    x = 16,603.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.