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Finding the Fourth Proportional to 17,824.32, 24,598.98 and 9,869.07

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Solution

The fourth proportional to 17,824.32, 24,598.98 and 9,869.07 is: 13,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.32 : 24,598.98 = 9,869.07 : x
  2. Step 2: Convert to fraction form
    17,824.32/24,598.98 = 9,869.07/x
  3. Step 3: Cross multiply
    17,824.32x = 24,598.98 × 9,869.07
  4. Step 4: Simplify right side
    17,824.32x = 242,769,055.55
  5. Step 5: Solve for x
    x = 242,769,055.55/17,824.32
  6. Step 6: Final answer
    x = 13,620.10

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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.