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Finding the Fourth Proportional to 24,157.28, 36,196.86 and 13,069.20

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Solution

The fourth proportional to 24,157.28, 36,196.86 and 13,069.20 is: 19,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.28 : 36,196.86 = 13,069.20 : x
  2. Step 2: Convert to fraction form
    24,157.28/36,196.86 = 13,069.20/x
  3. Step 3: Cross multiply
    24,157.28x = 36,196.86 × 13,069.20
  4. Step 4: Simplify right side
    24,157.28x = 473,064,002.71
  5. Step 5: Solve for x
    x = 473,064,002.71/24,157.28
  6. Step 6: Final answer
    x = 19,582.67

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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.