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Finding the Fourth Proportional to 15,880.98, 23,813.76 and 4,785.60

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Solution

The fourth proportional to 15,880.98, 23,813.76 and 4,785.60 is: 7,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.98 : 23,813.76 = 4,785.60 : x
  2. Step 2: Convert to fraction form
    15,880.98/23,813.76 = 4,785.60/x
  3. Step 3: Cross multiply
    15,880.98x = 23,813.76 × 4,785.60
  4. Step 4: Simplify right side
    15,880.98x = 113,963,129.86
  5. Step 5: Solve for x
    x = 113,963,129.86/15,880.98
  6. Step 6: Final answer
    x = 7,176.08

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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.