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Finding the Fourth Proportional to 21,330.53, 29,437.56 and 12,378

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Solution

The fourth proportional to 21,330.53, 29,437.56 and 12,378 is: 17,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.53 : 29,437.56 = 12,378 : x
  2. Step 2: Convert to fraction form
    21,330.53/29,437.56 = 12,378/x
  3. Step 3: Cross multiply
    21,330.53x = 29,437.56 × 12,378
  4. Step 4: Simplify right side
    21,330.53x = 364,378,117.68
  5. Step 5: Solve for x
    x = 364,378,117.68/21,330.53
  6. Step 6: Final answer
    x = 17,082.47

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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.