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Finding the Fourth Proportional to 19,774.40, 29,652.96 and 5,920.16

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Solution

The fourth proportional to 19,774.40, 29,652.96 and 5,920.16 is: 8,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.40 : 29,652.96 = 5,920.16 : x
  2. Step 2: Convert to fraction form
    19,774.40/29,652.96 = 5,920.16/x
  3. Step 3: Cross multiply
    19,774.40x = 29,652.96 × 5,920.16
  4. Step 4: Simplify right side
    19,774.40x = 175,550,267.67
  5. Step 5: Solve for x
    x = 175,550,267.67/19,774.40
  6. Step 6: Final answer
    x = 8,877.65

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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.