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Finding the Fourth Proportional to 10,232, 14,126.94 and 6,701.48

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Solution

The fourth proportional to 10,232, 14,126.94 and 6,701.48 is: 9,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232 : 14,126.94 = 6,701.48 : x
  2. Step 2: Convert to fraction form
    10,232/14,126.94 = 6,701.48/x
  3. Step 3: Cross multiply
    10,232x = 14,126.94 × 6,701.48
  4. Step 4: Simplify right side
    10,232x = 94,671,405.87
  5. Step 5: Solve for x
    x = 94,671,405.87/10,232
  6. Step 6: Final answer
    x = 9,252.48

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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.