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Finding the Fourth Proportional to 28,498, 42,750.42 and 11,869.30

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Solution

The fourth proportional to 28,498, 42,750.42 and 11,869.30 is: 17,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498 : 42,750.42 = 11,869.30 : x
  2. Step 2: Convert to fraction form
    28,498/42,750.42 = 11,869.30/x
  3. Step 3: Cross multiply
    28,498x = 42,750.42 × 11,869.30
  4. Step 4: Simplify right side
    28,498x = 507,417,560.11
  5. Step 5: Solve for x
    x = 507,417,560.11/28,498
  6. Step 6: Final answer
    x = 17,805.37

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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.