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Finding the Fourth Proportional to 27,430.39, 37,854.12 and 14,855.14

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Solution

The fourth proportional to 27,430.39, 37,854.12 and 14,855.14 is: 20,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.39 : 37,854.12 = 14,855.14 : x
  2. Step 2: Convert to fraction form
    27,430.39/37,854.12 = 14,855.14/x
  3. Step 3: Cross multiply
    27,430.39x = 37,854.12 × 14,855.14
  4. Step 4: Simplify right side
    27,430.39x = 562,328,252.18
  5. Step 5: Solve for x
    x = 562,328,252.18/27,430.39
  6. Step 6: Final answer
    x = 20,500.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.