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Finding the Fourth Proportional to 28,024.04, 38,673.14 and 15,449

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Solution

The fourth proportional to 28,024.04, 38,673.14 and 15,449 is: 21,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024.04 : 38,673.14 = 15,449 : x
  2. Step 2: Convert to fraction form
    28,024.04/38,673.14 = 15,449/x
  3. Step 3: Cross multiply
    28,024.04x = 38,673.14 × 15,449
  4. Step 4: Simplify right side
    28,024.04x = 597,461,339.86
  5. Step 5: Solve for x
    x = 597,461,339.86/28,024.04
  6. Step 6: Final answer
    x = 21,319.60

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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.