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Finding the Fourth Proportional to 28,097.06, 38,775.06 and 16,160.39

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Solution

The fourth proportional to 28,097.06, 38,775.06 and 16,160.39 is: 22,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.06 : 38,775.06 = 16,160.39 : x
  2. Step 2: Convert to fraction form
    28,097.06/38,775.06 = 16,160.39/x
  3. Step 3: Cross multiply
    28,097.06x = 38,775.06 × 16,160.39
  4. Step 4: Simplify right side
    28,097.06x = 626,619,898.00
  5. Step 5: Solve for x
    x = 626,619,898.00/28,097.06
  6. Step 6: Final answer
    x = 22,301.98

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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.