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Finding the Fourth Proportional to 28,352.24, 42,528 and 12,758.84

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Solution

The fourth proportional to 28,352.24, 42,528 and 12,758.84 is: 19,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,352.24 : 42,528 = 12,758.84 : x
  2. Step 2: Convert to fraction form
    28,352.24/42,528 = 12,758.84/x
  3. Step 3: Cross multiply
    28,352.24x = 42,528 × 12,758.84
  4. Step 4: Simplify right side
    28,352.24x = 542,607,947.52
  5. Step 5: Solve for x
    x = 542,607,947.52/28,352.24
  6. Step 6: Final answer
    x = 19,138.10

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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.