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Finding the Fourth Proportional to 23,841.42, 32,905.08 and 14,411.40

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Solution

The fourth proportional to 23,841.42, 32,905.08 and 14,411.40 is: 19,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.42 : 32,905.08 = 14,411.40 : x
  2. Step 2: Convert to fraction form
    23,841.42/32,905.08 = 14,411.40/x
  3. Step 3: Cross multiply
    23,841.42x = 32,905.08 × 14,411.40
  4. Step 4: Simplify right side
    23,841.42x = 474,208,269.91
  5. Step 5: Solve for x
    x = 474,208,269.91/23,841.42
  6. Step 6: Final answer
    x = 19,890.10

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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.