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Finding the Fourth Proportional to 27,197.40, 40,802.58 and 12,410.76

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Solution

The fourth proportional to 27,197.40, 40,802.58 and 12,410.76 is: 18,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.40 : 40,802.58 = 12,410.76 : x
  2. Step 2: Convert to fraction form
    27,197.40/40,802.58 = 12,410.76/x
  3. Step 3: Cross multiply
    27,197.40x = 40,802.58 × 12,410.76
  4. Step 4: Simplify right side
    27,197.40x = 506,391,027.76
  5. Step 5: Solve for x
    x = 506,391,027.76/27,197.40
  6. Step 6: Final answer
    x = 18,619.10

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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.