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Finding the Fourth Proportional to 17,617.32, 24,311.12 and 10,547.64

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Solution

The fourth proportional to 17,617.32, 24,311.12 and 10,547.64 is: 14,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.32 : 24,311.12 = 10,547.64 : x
  2. Step 2: Convert to fraction form
    17,617.32/24,311.12 = 10,547.64/x
  3. Step 3: Cross multiply
    17,617.32x = 24,311.12 × 10,547.64
  4. Step 4: Simplify right side
    17,617.32x = 256,424,941.76
  5. Step 5: Solve for x
    x = 256,424,941.76/17,617.32
  6. Step 6: Final answer
    x = 14,555.28

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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.