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Finding the Fourth Proportional to 23,681.44, 35,538 and 9,830.44

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Solution

The fourth proportional to 23,681.44, 35,538 and 9,830.44 is: 14,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.44 : 35,538 = 9,830.44 : x
  2. Step 2: Convert to fraction form
    23,681.44/35,538 = 9,830.44/x
  3. Step 3: Cross multiply
    23,681.44x = 35,538 × 9,830.44
  4. Step 4: Simplify right side
    23,681.44x = 349,354,176.72
  5. Step 5: Solve for x
    x = 349,354,176.72/23,681.44
  6. Step 6: Final answer
    x = 14,752.24

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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.