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Finding the Fourth Proportional to 15,915.60, 23,824.80 and 12,416.40

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Solution

The fourth proportional to 15,915.60, 23,824.80 and 12,416.40 is: 18,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.60 : 23,824.80 = 12,416.40 : x
  2. Step 2: Convert to fraction form
    15,915.60/23,824.80 = 12,416.40/x
  3. Step 3: Cross multiply
    15,915.60x = 23,824.80 × 12,416.40
  4. Step 4: Simplify right side
    15,915.60x = 295,818,246.72
  5. Step 5: Solve for x
    x = 295,818,246.72/15,915.60
  6. Step 6: Final answer
    x = 18,586.69

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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.