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Finding the Fourth Proportional to 27,113.85, 40,646.16 and 12,314.79

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Solution

The fourth proportional to 27,113.85, 40,646.16 and 12,314.79 is: 18,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.85 : 40,646.16 = 12,314.79 : x
  2. Step 2: Convert to fraction form
    27,113.85/40,646.16 = 12,314.79/x
  3. Step 3: Cross multiply
    27,113.85x = 40,646.16 × 12,314.79
  4. Step 4: Simplify right side
    27,113.85x = 500,548,924.71
  5. Step 5: Solve for x
    x = 500,548,924.71/27,113.85
  6. Step 6: Final answer
    x = 18,461.01

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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.