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Finding the Fourth Proportional to 10,654.64, 16,005 and 9,014.48

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Solution

The fourth proportional to 10,654.64, 16,005 and 9,014.48 is: 13,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.64 : 16,005 = 9,014.48 : x
  2. Step 2: Convert to fraction form
    10,654.64/16,005 = 9,014.48/x
  3. Step 3: Cross multiply
    10,654.64x = 16,005 × 9,014.48
  4. Step 4: Simplify right side
    10,654.64x = 144,276,752.40
  5. Step 5: Solve for x
    x = 144,276,752.40/10,654.64
  6. Step 6: Final answer
    x = 13,541.21

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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.