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Finding the Fourth Proportional to 27,429.25, 37,852.15 and 14,854

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Solution

The fourth proportional to 27,429.25, 37,852.15 and 14,854 is: 20,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.25 : 37,852.15 = 14,854 : x
  2. Step 2: Convert to fraction form
    27,429.25/37,852.15 = 14,854/x
  3. Step 3: Cross multiply
    27,429.25x = 37,852.15 × 14,854
  4. Step 4: Simplify right side
    27,429.25x = 562,255,836.10
  5. Step 5: Solve for x
    x = 562,255,836.10/27,429.25
  6. Step 6: Final answer
    x = 20,498.40

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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.