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Finding the Fourth Proportional to 23,602.71, 32,578.63 and 14,049.30

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Solution

The fourth proportional to 23,602.71, 32,578.63 and 14,049.30 is: 19,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.71 : 32,578.63 = 14,049.30 : x
  2. Step 2: Convert to fraction form
    23,602.71/32,578.63 = 14,049.30/x
  3. Step 3: Cross multiply
    23,602.71x = 32,578.63 × 14,049.30
  4. Step 4: Simplify right side
    23,602.71x = 457,706,946.46
  5. Step 5: Solve for x
    x = 457,706,946.46/23,602.71
  6. Step 6: Final answer
    x = 19,392.14

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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.