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Finding the Fourth Proportional to 23,503.60, 35,258.70 and 6,864.86

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Solution

The fourth proportional to 23,503.60, 35,258.70 and 6,864.86 is: 10,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.60 : 35,258.70 = 6,864.86 : x
  2. Step 2: Convert to fraction form
    23,503.60/35,258.70 = 6,864.86/x
  3. Step 3: Cross multiply
    23,503.60x = 35,258.70 × 6,864.86
  4. Step 4: Simplify right side
    23,503.60x = 242,046,039.28
  5. Step 5: Solve for x
    x = 242,046,039.28/23,503.60
  6. Step 6: Final answer
    x = 10,298.25

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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.