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Finding the Fourth Proportional to 18,298.76, 27,445.98 and 7,205

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Solution

The fourth proportional to 18,298.76, 27,445.98 and 7,205 is: 10,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.76 : 27,445.98 = 7,205 : x
  2. Step 2: Convert to fraction form
    18,298.76/27,445.98 = 7,205/x
  3. Step 3: Cross multiply
    18,298.76x = 27,445.98 × 7,205
  4. Step 4: Simplify right side
    18,298.76x = 197,748,285.90
  5. Step 5: Solve for x
    x = 197,748,285.90/18,298.76
  6. Step 6: Final answer
    x = 10,806.65

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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.