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Finding the Fourth Proportional to 15,792.60, 23,688.86 and 6,430.42

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Solution

The fourth proportional to 15,792.60, 23,688.86 and 6,430.42 is: 9,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.60 : 23,688.86 = 6,430.42 : x
  2. Step 2: Convert to fraction form
    15,792.60/23,688.86 = 6,430.42/x
  3. Step 3: Cross multiply
    15,792.60x = 23,688.86 × 6,430.42
  4. Step 4: Simplify right side
    15,792.60x = 152,329,191.66
  5. Step 5: Solve for x
    x = 152,329,191.66/15,792.60
  6. Step 6: Final answer
    x = 9,645.61

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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.