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Finding the Fourth Proportional to 20,258.34, 30,398.88 and 8,580.30

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Solution

The fourth proportional to 20,258.34, 30,398.88 and 8,580.30 is: 12,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.34 : 30,398.88 = 8,580.30 : x
  2. Step 2: Convert to fraction form
    20,258.34/30,398.88 = 8,580.30/x
  3. Step 3: Cross multiply
    20,258.34x = 30,398.88 × 8,580.30
  4. Step 4: Simplify right side
    20,258.34x = 260,831,510.06
  5. Step 5: Solve for x
    x = 260,831,510.06/20,258.34
  6. Step 6: Final answer
    x = 12,875.27

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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.