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Finding the Fourth Proportional to 25,191.17, 37,780.67 and 7,417.00

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Solution

The fourth proportional to 25,191.17, 37,780.67 and 7,417.00 is: 11,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.17 : 37,780.67 = 7,417.00 : x
  2. Step 2: Convert to fraction form
    25,191.17/37,780.67 = 7,417.00/x
  3. Step 3: Cross multiply
    25,191.17x = 37,780.67 × 7,417.00
  4. Step 4: Simplify right side
    25,191.17x = 280,219,153.48
  5. Step 5: Solve for x
    x = 280,219,153.48/25,191.17
  6. Step 6: Final answer
    x = 11,123.71

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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.