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Finding the Fourth Proportional to 42,424, 63,636.14 and 14,344.28

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Solution

The fourth proportional to 42,424, 63,636.14 and 14,344.28 is: 21,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,424 : 63,636.14 = 14,344.28 : x
  2. Step 2: Convert to fraction form
    42,424/63,636.14 = 14,344.28/x
  3. Step 3: Cross multiply
    42,424x = 63,636.14 × 14,344.28
  4. Step 4: Simplify right side
    42,424x = 912,814,610.28
  5. Step 5: Solve for x
    x = 912,814,610.28/42,424
  6. Step 6: Final answer
    x = 21,516.47

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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.