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Finding the Fourth Proportional to 28,298.19, 42,420.90 and 9,565.13

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Solution

The fourth proportional to 28,298.19, 42,420.90 and 9,565.13 is: 14,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.19 : 42,420.90 = 9,565.13 : x
  2. Step 2: Convert to fraction form
    28,298.19/42,420.90 = 9,565.13/x
  3. Step 3: Cross multiply
    28,298.19x = 42,420.90 × 9,565.13
  4. Step 4: Simplify right side
    28,298.19x = 405,761,211.11
  5. Step 5: Solve for x
    x = 405,761,211.11/28,298.19
  6. Step 6: Final answer
    x = 14,338.77

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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.