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Finding the Fourth Proportional to 17,851.78, 24,632.67 and 10,298.40

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Solution

The fourth proportional to 17,851.78, 24,632.67 and 10,298.40 is: 14,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.78 : 24,632.67 = 10,298.40 : x
  2. Step 2: Convert to fraction form
    17,851.78/24,632.67 = 10,298.40/x
  3. Step 3: Cross multiply
    17,851.78x = 24,632.67 × 10,298.40
  4. Step 4: Simplify right side
    17,851.78x = 253,677,088.73
  5. Step 5: Solve for x
    x = 253,677,088.73/17,851.78
  6. Step 6: Final answer
    x = 14,210.18

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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.