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Finding the Fourth Proportional to 15,235.90, 22,849.80 and 4,705.90

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Solution

The fourth proportional to 15,235.90, 22,849.80 and 4,705.90 is: 7,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.90 : 22,849.80 = 4,705.90 : x
  2. Step 2: Convert to fraction form
    15,235.90/22,849.80 = 4,705.90/x
  3. Step 3: Cross multiply
    15,235.90x = 22,849.80 × 4,705.90
  4. Step 4: Simplify right side
    15,235.90x = 107,528,873.82
  5. Step 5: Solve for x
    x = 107,528,873.82/15,235.90
  6. Step 6: Final answer
    x = 7,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.