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Finding the Fourth Proportional to 23,826.60, 35,729.10 and 9,030.60

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Solution

The fourth proportional to 23,826.60, 35,729.10 and 9,030.60 is: 13,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.60 : 35,729.10 = 9,030.60 : x
  2. Step 2: Convert to fraction form
    23,826.60/35,729.10 = 9,030.60/x
  3. Step 3: Cross multiply
    23,826.60x = 35,729.10 × 9,030.60
  4. Step 4: Simplify right side
    23,826.60x = 322,655,210.46
  5. Step 5: Solve for x
    x = 322,655,210.46/23,826.60
  6. Step 6: Final answer
    x = 13,541.81

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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.