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Finding the Fourth Proportional to 15,416, 23,124.56 and 4,323.72

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Solution

The fourth proportional to 15,416, 23,124.56 and 4,323.72 is: 6,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 23,124.56 = 4,323.72 : x
  2. Step 2: Convert to fraction form
    15,416/23,124.56 = 4,323.72/x
  3. Step 3: Cross multiply
    15,416x = 23,124.56 × 4,323.72
  4. Step 4: Simplify right side
    15,416x = 99,984,122.56
  5. Step 5: Solve for x
    x = 99,984,122.56/15,416
  6. Step 6: Final answer
    x = 6,485.74

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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.