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Finding the Fourth Proportional to 23,531.10, 32,482.17 and 14,097.84

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Solution

The fourth proportional to 23,531.10, 32,482.17 and 14,097.84 is: 19,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.10 : 32,482.17 = 14,097.84 : x
  2. Step 2: Convert to fraction form
    23,531.10/32,482.17 = 14,097.84/x
  3. Step 3: Cross multiply
    23,531.10x = 32,482.17 × 14,097.84
  4. Step 4: Simplify right side
    23,531.10x = 457,928,435.51
  5. Step 5: Solve for x
    x = 457,928,435.51/23,531.10
  6. Step 6: Final answer
    x = 19,460.56

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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.