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Finding the Fourth Proportional to 17,507.40, 24,159.76 and 9,549.60

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Solution

The fourth proportional to 17,507.40, 24,159.76 and 9,549.60 is: 13,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.40 : 24,159.76 = 9,549.60 : x
  2. Step 2: Convert to fraction form
    17,507.40/24,159.76 = 9,549.60/x
  3. Step 3: Cross multiply
    17,507.40x = 24,159.76 × 9,549.60
  4. Step 4: Simplify right side
    17,507.40x = 230,716,044.10
  5. Step 5: Solve for x
    x = 230,716,044.10/17,507.40
  6. Step 6: Final answer
    x = 13,178.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.