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Finding the Fourth Proportional to 17,646.95, 24,352.49 and 9,688.70

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Solution

The fourth proportional to 17,646.95, 24,352.49 and 9,688.70 is: 13,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.95 : 24,352.49 = 9,688.70 : x
  2. Step 2: Convert to fraction form
    17,646.95/24,352.49 = 9,688.70/x
  3. Step 3: Cross multiply
    17,646.95x = 24,352.49 × 9,688.70
  4. Step 4: Simplify right side
    17,646.95x = 235,943,799.66
  5. Step 5: Solve for x
    x = 235,943,799.66/17,646.95
  6. Step 6: Final answer
    x = 13,370.23

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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.