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Finding the Fourth Proportional to 17,527.59, 24,188.64 and 9,570.42

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Solution

The fourth proportional to 17,527.59, 24,188.64 and 9,570.42 is: 13,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.59 : 24,188.64 = 9,570.42 : x
  2. Step 2: Convert to fraction form
    17,527.59/24,188.64 = 9,570.42/x
  3. Step 3: Cross multiply
    17,527.59x = 24,188.64 × 9,570.42
  4. Step 4: Simplify right side
    17,527.59x = 231,495,444.03
  5. Step 5: Solve for x
    x = 231,495,444.03/17,527.59
  6. Step 6: Final answer
    x = 13,207.49

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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.