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Finding the Fourth Proportional to 21,488.40, 29,653.56 and 12,060

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Solution

The fourth proportional to 21,488.40, 29,653.56 and 12,060 is: 16,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.40 : 29,653.56 = 12,060 : x
  2. Step 2: Convert to fraction form
    21,488.40/29,653.56 = 12,060/x
  3. Step 3: Cross multiply
    21,488.40x = 29,653.56 × 12,060
  4. Step 4: Simplify right side
    21,488.40x = 357,621,933.60
  5. Step 5: Solve for x
    x = 357,621,933.60/21,488.40
  6. Step 6: Final answer
    x = 16,642.56

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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.