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Finding the Fourth Proportional to 24,516.64, 36,776.36 and 6,987.84

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Solution

The fourth proportional to 24,516.64, 36,776.36 and 6,987.84 is: 10,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.64 : 36,776.36 = 6,987.84 : x
  2. Step 2: Convert to fraction form
    24,516.64/36,776.36 = 6,987.84/x
  3. Step 3: Cross multiply
    24,516.64x = 36,776.36 × 6,987.84
  4. Step 4: Simplify right side
    24,516.64x = 256,987,319.46
  5. Step 5: Solve for x
    x = 256,987,319.46/24,516.64
  6. Step 6: Final answer
    x = 10,482.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.