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Finding the Fourth Proportional to 21,688.86, 29,928.16 and 12,257.40

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Solution

The fourth proportional to 21,688.86, 29,928.16 and 12,257.40 is: 16,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.86 : 29,928.16 = 12,257.40 : x
  2. Step 2: Convert to fraction form
    21,688.86/29,928.16 = 12,257.40/x
  3. Step 3: Cross multiply
    21,688.86x = 29,928.16 × 12,257.40
  4. Step 4: Simplify right side
    21,688.86x = 366,841,428.38
  5. Step 5: Solve for x
    x = 366,841,428.38/21,688.86
  6. Step 6: Final answer
    x = 16,913.82

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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.