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Finding the Fourth Proportional to 28,421.72, 39,224.32 and 15,677.40

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Solution

The fourth proportional to 28,421.72, 39,224.32 and 15,677.40 is: 21,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.72 : 39,224.32 = 15,677.40 : x
  2. Step 2: Convert to fraction form
    28,421.72/39,224.32 = 15,677.40/x
  3. Step 3: Cross multiply
    28,421.72x = 39,224.32 × 15,677.40
  4. Step 4: Simplify right side
    28,421.72x = 614,935,354.37
  5. Step 5: Solve for x
    x = 614,935,354.37/28,421.72
  6. Step 6: Final answer
    x = 21,636.11

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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.