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Finding the Fourth Proportional to 17,707.84, 24,437.01 and 9,641.55

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Solution

The fourth proportional to 17,707.84, 24,437.01 and 9,641.55 is: 13,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.84 : 24,437.01 = 9,641.55 : x
  2. Step 2: Convert to fraction form
    17,707.84/24,437.01 = 9,641.55/x
  3. Step 3: Cross multiply
    17,707.84x = 24,437.01 × 9,641.55
  4. Step 4: Simplify right side
    17,707.84x = 235,610,653.77
  5. Step 5: Solve for x
    x = 235,610,653.77/17,707.84
  6. Step 6: Final answer
    x = 13,305.44

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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.