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Finding the Fourth Proportional to 17,815.16, 24,585.65 and 9,857.25

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Solution

The fourth proportional to 17,815.16, 24,585.65 and 9,857.25 is: 13,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.16 : 24,585.65 = 9,857.25 : x
  2. Step 2: Convert to fraction form
    17,815.16/24,585.65 = 9,857.25/x
  3. Step 3: Cross multiply
    17,815.16x = 24,585.65 × 9,857.25
  4. Step 4: Simplify right side
    17,815.16x = 242,346,849.18
  5. Step 5: Solve for x
    x = 242,346,849.18/17,815.16
  6. Step 6: Final answer
    x = 13,603.41

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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.