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Finding the Fourth Proportional to 23,482.71, 32,405.11 and 14,056.47

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Solution

The fourth proportional to 23,482.71, 32,405.11 and 14,056.47 is: 19,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.71 : 32,405.11 = 14,056.47 : x
  2. Step 2: Convert to fraction form
    23,482.71/32,405.11 = 14,056.47/x
  3. Step 3: Cross multiply
    23,482.71x = 32,405.11 × 14,056.47
  4. Step 4: Simplify right side
    23,482.71x = 455,501,456.56
  5. Step 5: Solve for x
    x = 455,501,456.56/23,482.71
  6. Step 6: Final answer
    x = 19,397.31

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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.