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Finding the Fourth Proportional to 10,184.82, 14,050.71 and 7,035.54

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Solution

The fourth proportional to 10,184.82, 14,050.71 and 7,035.54 is: 9,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.82 : 14,050.71 = 7,035.54 : x
  2. Step 2: Convert to fraction form
    10,184.82/14,050.71 = 7,035.54/x
  3. Step 3: Cross multiply
    10,184.82x = 14,050.71 × 7,035.54
  4. Step 4: Simplify right side
    10,184.82x = 98,854,332.23
  5. Step 5: Solve for x
    x = 98,854,332.23/10,184.82
  6. Step 6: Final answer
    x = 9,706.05

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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.