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Finding the Fourth Proportional to 25,648.04, 38,477.84 and 9,009.23

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Solution

The fourth proportional to 25,648.04, 38,477.84 and 9,009.23 is: 13,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.04 : 38,477.84 = 9,009.23 : x
  2. Step 2: Convert to fraction form
    25,648.04/38,477.84 = 9,009.23/x
  3. Step 3: Cross multiply
    25,648.04x = 38,477.84 × 9,009.23
  4. Step 4: Simplify right side
    25,648.04x = 346,655,473.03
  5. Step 5: Solve for x
    x = 346,655,473.03/25,648.04
  6. Step 6: Final answer
    x = 13,515.86

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