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Finding the Fourth Proportional to 10,851.20, 14,695.20 and 10,851.20

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Solution

The fourth proportional to 10,851.20, 14,695.20 and 10,851.20 is: 14,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.20 : 14,695.20 = 10,851.20 : x
  2. Step 2: Convert to fraction form
    10,851.20/14,695.20 = 10,851.20/x
  3. Step 3: Cross multiply
    10,851.20x = 14,695.20 × 10,851.20
  4. Step 4: Simplify right side
    10,851.20x = 159,460,554.24
  5. Step 5: Solve for x
    x = 159,460,554.24/10,851.20
  6. Step 6: Final answer
    x = 14,695.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.