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Finding the Fourth Proportional to 23,155.64, 34,735.02 and 11,465.72

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Solution

The fourth proportional to 23,155.64, 34,735.02 and 11,465.72 is: 17,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155.64 : 34,735.02 = 11,465.72 : x
  2. Step 2: Convert to fraction form
    23,155.64/34,735.02 = 11,465.72/x
  3. Step 3: Cross multiply
    23,155.64x = 34,735.02 × 11,465.72
  4. Step 4: Simplify right side
    23,155.64x = 398,262,013.51
  5. Step 5: Solve for x
    x = 398,262,013.51/23,155.64
  6. Step 6: Final answer
    x = 17,199.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.