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Finding the Fourth Proportional to 10,295.34, 14,267.36 and 10,098.42

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Solution

The fourth proportional to 10,295.34, 14,267.36 and 10,098.42 is: 13,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.34 : 14,267.36 = 10,098.42 : x
  2. Step 2: Convert to fraction form
    10,295.34/14,267.36 = 10,098.42/x
  3. Step 3: Cross multiply
    10,295.34x = 14,267.36 × 10,098.42
  4. Step 4: Simplify right side
    10,295.34x = 144,077,743.08
  5. Step 5: Solve for x
    x = 144,077,743.08/10,295.34
  6. Step 6: Final answer
    x = 13,994.46

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