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Finding the Fourth Proportional to 15,895.71, 23,839.02 and 6,408

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Solution

The fourth proportional to 15,895.71, 23,839.02 and 6,408 is: 9,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.71 : 23,839.02 = 6,408 : x
  2. Step 2: Convert to fraction form
    15,895.71/23,839.02 = 6,408/x
  3. Step 3: Cross multiply
    15,895.71x = 23,839.02 × 6,408
  4. Step 4: Simplify right side
    15,895.71x = 152,760,440.16
  5. Step 5: Solve for x
    x = 152,760,440.16/15,895.71
  6. Step 6: Final answer
    x = 9,610.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.