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Finding the Fourth Proportional to 19,854.16, 29,788.16 and 13,217.32

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Solution

The fourth proportional to 19,854.16, 29,788.16 and 13,217.32 is: 19,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.16 : 29,788.16 = 13,217.32 : x
  2. Step 2: Convert to fraction form
    19,854.16/29,788.16 = 13,217.32/x
  3. Step 3: Cross multiply
    19,854.16x = 29,788.16 × 13,217.32
  4. Step 4: Simplify right side
    19,854.16x = 393,719,642.93
  5. Step 5: Solve for x
    x = 393,719,642.93/19,854.16
  6. Step 6: Final answer
    x = 19,830.59

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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.