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Finding the Fourth Proportional to 17,962.65, 24,787.47 and 9,894.72

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Solution

The fourth proportional to 17,962.65, 24,787.47 and 9,894.72 is: 13,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.65 : 24,787.47 = 9,894.72 : x
  2. Step 2: Convert to fraction form
    17,962.65/24,787.47 = 9,894.72/x
  3. Step 3: Cross multiply
    17,962.65x = 24,787.47 × 9,894.72
  4. Step 4: Simplify right side
    17,962.65x = 245,265,075.16
  5. Step 5: Solve for x
    x = 245,265,075.16/17,962.65
  6. Step 6: Final answer
    x = 13,654.17

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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.