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Finding the Fourth Proportional to 10,840.83, 16,182.80 and 10,029.21

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Solution

The fourth proportional to 10,840.83, 16,182.80 and 10,029.21 is: 14,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.83 : 16,182.80 = 10,029.21 : x
  2. Step 2: Convert to fraction form
    10,840.83/16,182.80 = 10,029.21/x
  3. Step 3: Cross multiply
    10,840.83x = 16,182.80 × 10,029.21
  4. Step 4: Simplify right side
    10,840.83x = 162,300,699.59
  5. Step 5: Solve for x
    x = 162,300,699.59/10,840.83
  6. Step 6: Final answer
    x = 14,971.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.