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Finding the Fourth Proportional to 17,425.81, 24,047.49 and 9,468.01

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Solution

The fourth proportional to 17,425.81, 24,047.49 and 9,468.01 is: 13,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425.81 : 24,047.49 = 9,468.01 : x
  2. Step 2: Convert to fraction form
    17,425.81/24,047.49 = 9,468.01/x
  3. Step 3: Cross multiply
    17,425.81x = 24,047.49 × 9,468.01
  4. Step 4: Simplify right side
    17,425.81x = 227,681,875.79
  5. Step 5: Solve for x
    x = 227,681,875.79/17,425.81
  6. Step 6: Final answer
    x = 13,065.78

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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.