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Finding the Fourth Proportional to 23,903.16, 35,822.46 and 9,104.01

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Solution

The fourth proportional to 23,903.16, 35,822.46 and 9,104.01 is: 13,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.16 : 35,822.46 = 9,104.01 : x
  2. Step 2: Convert to fraction form
    23,903.16/35,822.46 = 9,104.01/x
  3. Step 3: Cross multiply
    23,903.16x = 35,822.46 × 9,104.01
  4. Step 4: Simplify right side
    23,903.16x = 326,128,034.06
  5. Step 5: Solve for x
    x = 326,128,034.06/23,903.16
  6. Step 6: Final answer
    x = 13,643.72

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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.