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Finding the Fourth Proportional to 15,875.96, 23,814.14 and 6,392.70

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Solution

The fourth proportional to 15,875.96, 23,814.14 and 6,392.70 is: 9,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.96 : 23,814.14 = 6,392.70 : x
  2. Step 2: Convert to fraction form
    15,875.96/23,814.14 = 6,392.70/x
  3. Step 3: Cross multiply
    15,875.96x = 23,814.14 × 6,392.70
  4. Step 4: Simplify right side
    15,875.96x = 152,236,620.81
  5. Step 5: Solve for x
    x = 152,236,620.81/15,875.96
  6. Step 6: Final answer
    x = 9,589.13

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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.