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Finding the Fourth Proportional to 16,293.16, 24,430.56 and 5,197.24

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Solution

The fourth proportional to 16,293.16, 24,430.56 and 5,197.24 is: 7,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.16 : 24,430.56 = 5,197.24 : x
  2. Step 2: Convert to fraction form
    16,293.16/24,430.56 = 5,197.24/x
  3. Step 3: Cross multiply
    16,293.16x = 24,430.56 × 5,197.24
  4. Step 4: Simplify right side
    16,293.16x = 126,971,483.65
  5. Step 5: Solve for x
    x = 126,971,483.65/16,293.16
  6. Step 6: Final answer
    x = 7,792.93

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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.