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Finding the Fourth Proportional to 27,430.60, 37,854.24 and 14,855.35

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Solution

The fourth proportional to 27,430.60, 37,854.24 and 14,855.35 is: 20,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.60 : 37,854.24 = 14,855.35 : x
  2. Step 2: Convert to fraction form
    27,430.60/37,854.24 = 14,855.35/x
  3. Step 3: Cross multiply
    27,430.60x = 37,854.24 × 14,855.35
  4. Step 4: Simplify right side
    27,430.60x = 562,337,904.82
  5. Step 5: Solve for x
    x = 562,337,904.82/27,430.60
  6. Step 6: Final answer
    x = 20,500.39

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Why These Related Problems?

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