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Finding the Fourth Proportional to 12,374.14, 17,054 and 9,011.63

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Solution

The fourth proportional to 12,374.14, 17,054 and 9,011.63 is: 12,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.14 : 17,054 = 9,011.63 : x
  2. Step 2: Convert to fraction form
    12,374.14/17,054 = 9,011.63/x
  3. Step 3: Cross multiply
    12,374.14x = 17,054 × 9,011.63
  4. Step 4: Simplify right side
    12,374.14x = 153,684,338.02
  5. Step 5: Solve for x
    x = 153,684,338.02/12,374.14
  6. Step 6: Final answer
    x = 12,419.80

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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.