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Finding the Fourth Proportional to 25,357.42, 38,036.10 and 9,764.11

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Solution

The fourth proportional to 25,357.42, 38,036.10 and 9,764.11 is: 14,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.42 : 38,036.10 = 9,764.11 : x
  2. Step 2: Convert to fraction form
    25,357.42/38,036.10 = 9,764.11/x
  3. Step 3: Cross multiply
    25,357.42x = 38,036.10 × 9,764.11
  4. Step 4: Simplify right side
    25,357.42x = 371,388,664.37
  5. Step 5: Solve for x
    x = 371,388,664.37/25,357.42
  6. Step 6: Final answer
    x = 14,646.15

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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.