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Finding the Fourth Proportional to 24,437.16, 36,655.74 and 8,643.78

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Solution

The fourth proportional to 24,437.16, 36,655.74 and 8,643.78 is: 12,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.16 : 36,655.74 = 8,643.78 : x
  2. Step 2: Convert to fraction form
    24,437.16/36,655.74 = 8,643.78/x
  3. Step 3: Cross multiply
    24,437.16x = 36,655.74 × 8,643.78
  4. Step 4: Simplify right side
    24,437.16x = 316,844,152.30
  5. Step 5: Solve for x
    x = 316,844,152.30/24,437.16
  6. Step 6: Final answer
    x = 12,965.67

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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.