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Finding the Fourth Proportional to 23,748, 35,622.06 and 9,897

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Solution

The fourth proportional to 23,748, 35,622.06 and 9,897 is: 14,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 35,622.06 = 9,897 : x
  2. Step 2: Convert to fraction form
    23,748/35,622.06 = 9,897/x
  3. Step 3: Cross multiply
    23,748x = 35,622.06 × 9,897
  4. Step 4: Simplify right side
    23,748x = 352,551,527.82
  5. Step 5: Solve for x
    x = 352,551,527.82/23,748
  6. Step 6: Final answer
    x = 14,845.53

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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.