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Finding the Fourth Proportional to 23,971.24, 35,971.35 and 9,931.60

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Solution

The fourth proportional to 23,971.24, 35,971.35 and 9,931.60 is: 14,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.24 : 35,971.35 = 9,931.60 : x
  2. Step 2: Convert to fraction form
    23,971.24/35,971.35 = 9,931.60/x
  3. Step 3: Cross multiply
    23,971.24x = 35,971.35 × 9,931.60
  4. Step 4: Simplify right side
    23,971.24x = 357,253,059.66
  5. Step 5: Solve for x
    x = 357,253,059.66/23,971.24
  6. Step 6: Final answer
    x = 14,903.40

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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.