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Finding the Fourth Proportional to 14,386.98, 21,575.24 and 5,024.38

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Solution

The fourth proportional to 14,386.98, 21,575.24 and 5,024.38 is: 7,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.98 : 21,575.24 = 5,024.38 : x
  2. Step 2: Convert to fraction form
    14,386.98/21,575.24 = 5,024.38/x
  3. Step 3: Cross multiply
    14,386.98x = 21,575.24 × 5,024.38
  4. Step 4: Simplify right side
    14,386.98x = 108,402,204.35
  5. Step 5: Solve for x
    x = 108,402,204.35/14,386.98
  6. Step 6: Final answer
    x = 7,534.74

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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.