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Finding the Fourth Proportional to 17,421.39, 24,041.78 and 9,867.53

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Solution

The fourth proportional to 17,421.39, 24,041.78 and 9,867.53 is: 13,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.39 : 24,041.78 = 9,867.53 : x
  2. Step 2: Convert to fraction form
    17,421.39/24,041.78 = 9,867.53/x
  3. Step 3: Cross multiply
    17,421.39x = 24,041.78 × 9,867.53
  4. Step 4: Simplify right side
    17,421.39x = 237,232,985.40
  5. Step 5: Solve for x
    x = 237,232,985.40/17,421.39
  6. Step 6: Final answer
    x = 13,617.34

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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.