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Finding the Fourth Proportional to 28,214.86, 38,934.36 and 15,466

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Solution

The fourth proportional to 28,214.86, 38,934.36 and 15,466 is: 21,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.86 : 38,934.36 = 15,466 : x
  2. Step 2: Convert to fraction form
    28,214.86/38,934.36 = 15,466/x
  3. Step 3: Cross multiply
    28,214.86x = 38,934.36 × 15,466
  4. Step 4: Simplify right side
    28,214.86x = 602,158,811.76
  5. Step 5: Solve for x
    x = 602,158,811.76/28,214.86
  6. Step 6: Final answer
    x = 21,341.90

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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.