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Finding the Fourth Proportional to 23,989.76, 35,970 and 9,938.72

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Solution

The fourth proportional to 23,989.76, 35,970 and 9,938.72 is: 14,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989.76 : 35,970 = 9,938.72 : x
  2. Step 2: Convert to fraction form
    23,989.76/35,970 = 9,938.72/x
  3. Step 3: Cross multiply
    23,989.76x = 35,970 × 9,938.72
  4. Step 4: Simplify right side
    23,989.76x = 357,495,758.40
  5. Step 5: Solve for x
    x = 357,495,758.40/23,989.76
  6. Step 6: Final answer
    x = 14,902.01

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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.