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Finding the Fourth Proportional to 17,920.04, 24,730.29 and 9,854.30

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Solution

The fourth proportional to 17,920.04, 24,730.29 and 9,854.30 is: 13,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.04 : 24,730.29 = 9,854.30 : x
  2. Step 2: Convert to fraction form
    17,920.04/24,730.29 = 9,854.30/x
  3. Step 3: Cross multiply
    17,920.04x = 24,730.29 × 9,854.30
  4. Step 4: Simplify right side
    17,920.04x = 243,699,647.48
  5. Step 5: Solve for x
    x = 243,699,647.48/17,920.04
  6. Step 6: Final answer
    x = 13,599.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.