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Finding the Fourth Proportional to 10,557.66, 14,636.18 and 9,995.88

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Solution

The fourth proportional to 10,557.66, 14,636.18 and 9,995.88 is: 13,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.66 : 14,636.18 = 9,995.88 : x
  2. Step 2: Convert to fraction form
    10,557.66/14,636.18 = 9,995.88/x
  3. Step 3: Cross multiply
    10,557.66x = 14,636.18 × 9,995.88
  4. Step 4: Simplify right side
    10,557.66x = 146,301,498.94
  5. Step 5: Solve for x
    x = 146,301,498.94/10,557.66
  6. Step 6: Final answer
    x = 13,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.