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Finding the Fourth Proportional to 10,500.98, 14,518.78 and 10,036.24

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Solution

The fourth proportional to 10,500.98, 14,518.78 and 10,036.24 is: 13,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.98 : 14,518.78 = 10,036.24 : x
  2. Step 2: Convert to fraction form
    10,500.98/14,518.78 = 10,036.24/x
  3. Step 3: Cross multiply
    10,500.98x = 14,518.78 × 10,036.24
  4. Step 4: Simplify right side
    10,500.98x = 145,713,899.20
  5. Step 5: Solve for x
    x = 145,713,899.20/10,500.98
  6. Step 6: Final answer
    x = 13,876.23

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