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Finding the Fourth Proportional to 17,506.50, 24,159.40 and 9,549.48

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Solution

The fourth proportional to 17,506.50, 24,159.40 and 9,549.48 is: 13,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.50 : 24,159.40 = 9,549.48 : x
  2. Step 2: Convert to fraction form
    17,506.50/24,159.40 = 9,549.48/x
  3. Step 3: Cross multiply
    17,506.50x = 24,159.40 × 9,549.48
  4. Step 4: Simplify right side
    17,506.50x = 230,709,707.11
  5. Step 5: Solve for x
    x = 230,709,707.11/17,506.50
  6. Step 6: Final answer
    x = 13,178.52

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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.