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Finding the Fourth Proportional to 23,603.40, 32,569.29 and 15,112.98

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Solution

The fourth proportional to 23,603.40, 32,569.29 and 15,112.98 is: 20,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.40 : 32,569.29 = 15,112.98 : x
  2. Step 2: Convert to fraction form
    23,603.40/32,569.29 = 15,112.98/x
  3. Step 3: Cross multiply
    23,603.40x = 32,569.29 × 15,112.98
  4. Step 4: Simplify right side
    23,603.40x = 492,219,028.38
  5. Step 5: Solve for x
    x = 492,219,028.38/23,603.40
  6. Step 6: Final answer
    x = 20,853.73

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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.