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Finding the Fourth Proportional to 17,527.35, 24,187.50 and 9,569.40

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Solution

The fourth proportional to 17,527.35, 24,187.50 and 9,569.40 is: 13,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.35 : 24,187.50 = 9,569.40 : x
  2. Step 2: Convert to fraction form
    17,527.35/24,187.50 = 9,569.40/x
  3. Step 3: Cross multiply
    17,527.35x = 24,187.50 × 9,569.40
  4. Step 4: Simplify right side
    17,527.35x = 231,459,862.50
  5. Step 5: Solve for x
    x = 231,459,862.50/17,527.35
  6. Step 6: Final answer
    x = 13,205.64

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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.