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Finding the Fourth Proportional to 11,042.19, 16,477.96 and 9,859.50

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Solution

The fourth proportional to 11,042.19, 16,477.96 and 9,859.50 is: 14,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.19 : 16,477.96 = 9,859.50 : x
  2. Step 2: Convert to fraction form
    11,042.19/16,477.96 = 9,859.50/x
  3. Step 3: Cross multiply
    11,042.19x = 16,477.96 × 9,859.50
  4. Step 4: Simplify right side
    11,042.19x = 162,464,428.78
  5. Step 5: Solve for x
    x = 162,464,428.78/11,042.19
  6. Step 6: Final answer
    x = 14,713.07

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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.