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Finding the Fourth Proportional to 23,117.60, 34,671.60 and 9,970.40

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Solution

The fourth proportional to 23,117.60, 34,671.60 and 9,970.40 is: 14,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.60 : 34,671.60 = 9,970.40 : x
  2. Step 2: Convert to fraction form
    23,117.60/34,671.60 = 9,970.40/x
  3. Step 3: Cross multiply
    23,117.60x = 34,671.60 × 9,970.40
  4. Step 4: Simplify right side
    23,117.60x = 345,689,720.64
  5. Step 5: Solve for x
    x = 345,689,720.64/23,117.60
  6. Step 6: Final answer
    x = 14,953.53

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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.