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Finding the Fourth Proportional to 25,534.98, 38,302.47 and 8,006.18

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Solution

The fourth proportional to 25,534.98, 38,302.47 and 8,006.18 is: 12,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.98 : 38,302.47 = 8,006.18 : x
  2. Step 2: Convert to fraction form
    25,534.98/38,302.47 = 8,006.18/x
  3. Step 3: Cross multiply
    25,534.98x = 38,302.47 × 8,006.18
  4. Step 4: Simplify right side
    25,534.98x = 306,656,277.75
  5. Step 5: Solve for x
    x = 306,656,277.75/25,534.98
  6. Step 6: Final answer
    x = 12,009.26

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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.