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Finding the Fourth Proportional to 23,875.71, 32,963.40 and 15,382.05

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Solution

The fourth proportional to 23,875.71, 32,963.40 and 15,382.05 is: 21,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.71 : 32,963.40 = 15,382.05 : x
  2. Step 2: Convert to fraction form
    23,875.71/32,963.40 = 15,382.05/x
  3. Step 3: Cross multiply
    23,875.71x = 32,963.40 × 15,382.05
  4. Step 4: Simplify right side
    23,875.71x = 507,044,666.97
  5. Step 5: Solve for x
    x = 507,044,666.97/23,875.71
  6. Step 6: Final answer
    x = 21,236.84

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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.