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Finding the Fourth Proportional to 23,491.95, 32,417.71 and 13,282.71

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Solution

The fourth proportional to 23,491.95, 32,417.71 and 13,282.71 is: 18,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.95 : 32,417.71 = 13,282.71 : x
  2. Step 2: Convert to fraction form
    23,491.95/32,417.71 = 13,282.71/x
  3. Step 3: Cross multiply
    23,491.95x = 32,417.71 × 13,282.71
  4. Step 4: Simplify right side
    23,491.95x = 430,595,040.79
  5. Step 5: Solve for x
    x = 430,595,040.79/23,491.95
  6. Step 6: Final answer
    x = 18,329.47

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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.