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Finding the Fourth Proportional to 23,224.71, 32,050.58 and 14,146.95

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Solution

The fourth proportional to 23,224.71, 32,050.58 and 14,146.95 is: 19,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.71 : 32,050.58 = 14,146.95 : x
  2. Step 2: Convert to fraction form
    23,224.71/32,050.58 = 14,146.95/x
  3. Step 3: Cross multiply
    23,224.71x = 32,050.58 × 14,146.95
  4. Step 4: Simplify right side
    23,224.71x = 453,417,882.00
  5. Step 5: Solve for x
    x = 453,417,882.00/23,224.71
  6. Step 6: Final answer
    x = 19,523.08

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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.