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Finding the Fourth Proportional to 17,637.68, 24,345.18 and 10,088.30

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Solution

The fourth proportional to 17,637.68, 24,345.18 and 10,088.30 is: 13,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.68 : 24,345.18 = 10,088.30 : x
  2. Step 2: Convert to fraction form
    17,637.68/24,345.18 = 10,088.30/x
  3. Step 3: Cross multiply
    17,637.68x = 24,345.18 × 10,088.30
  4. Step 4: Simplify right side
    17,637.68x = 245,601,479.39
  5. Step 5: Solve for x
    x = 245,601,479.39/17,637.68
  6. Step 6: Final answer
    x = 13,924.82

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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.