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Finding the Fourth Proportional to 10,265.58, 14,074.14 and 10,078.74

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Solution

The fourth proportional to 10,265.58, 14,074.14 and 10,078.74 is: 13,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.58 : 14,074.14 = 10,078.74 : x
  2. Step 2: Convert to fraction form
    10,265.58/14,074.14 = 10,078.74/x
  3. Step 3: Cross multiply
    10,265.58x = 14,074.14 × 10,078.74
  4. Step 4: Simplify right side
    10,265.58x = 141,849,597.78
  5. Step 5: Solve for x
    x = 141,849,597.78/10,265.58
  6. Step 6: Final answer
    x = 13,817.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.