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Finding the Fourth Proportional to 25,068.78, 37,603.14 and 7,538.58

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Solution

The fourth proportional to 25,068.78, 37,603.14 and 7,538.58 is: 11,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,068.78 : 37,603.14 = 7,538.58 : x
  2. Step 2: Convert to fraction form
    25,068.78/37,603.14 = 7,538.58/x
  3. Step 3: Cross multiply
    25,068.78x = 37,603.14 × 7,538.58
  4. Step 4: Simplify right side
    25,068.78x = 283,474,279.14
  5. Step 5: Solve for x
    x = 283,474,279.14/25,068.78
  6. Step 6: Final answer
    x = 11,307.86

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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.