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Finding the Fourth Proportional to 27,804.71, 38,368.07 and 16,472.30

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Solution

The fourth proportional to 27,804.71, 38,368.07 and 16,472.30 is: 22,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.71 : 38,368.07 = 16,472.30 : x
  2. Step 2: Convert to fraction form
    27,804.71/38,368.07 = 16,472.30/x
  3. Step 3: Cross multiply
    27,804.71x = 38,368.07 × 16,472.30
  4. Step 4: Simplify right side
    27,804.71x = 632,010,147.03
  5. Step 5: Solve for x
    x = 632,010,147.03/27,804.71
  6. Step 6: Final answer
    x = 22,730.33

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1.5x scale

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.