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Finding the Fourth Proportional to 15,032.97, 20,746.31 and 9,445.77

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Solution

The fourth proportional to 15,032.97, 20,746.31 and 9,445.77 is: 13,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032.97 : 20,746.31 = 9,445.77 : x
  2. Step 2: Convert to fraction form
    15,032.97/20,746.31 = 9,445.77/x
  3. Step 3: Cross multiply
    15,032.97x = 20,746.31 × 9,445.77
  4. Step 4: Simplify right side
    15,032.97x = 195,964,825.38
  5. Step 5: Solve for x
    x = 195,964,825.38/15,032.97
  6. Step 6: Final answer
    x = 13,035.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.