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Finding the Fourth Proportional to 15,754.43, 21,742.02 and 9,040

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Solution

The fourth proportional to 15,754.43, 21,742.02 and 9,040 is: 12,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.43 : 21,742.02 = 9,040 : x
  2. Step 2: Convert to fraction form
    15,754.43/21,742.02 = 9,040/x
  3. Step 3: Cross multiply
    15,754.43x = 21,742.02 × 9,040
  4. Step 4: Simplify right side
    15,754.43x = 196,547,860.80
  5. Step 5: Solve for x
    x = 196,547,860.80/15,754.43
  6. Step 6: Final answer
    x = 12,475.72

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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.