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Finding the Fourth Proportional to 15,314.04, 21,114 and 10,000.44

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Solution

The fourth proportional to 15,314.04, 21,114 and 10,000.44 is: 13,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.04 : 21,114 = 10,000.44 : x
  2. Step 2: Convert to fraction form
    15,314.04/21,114 = 10,000.44/x
  3. Step 3: Cross multiply
    15,314.04x = 21,114 × 10,000.44
  4. Step 4: Simplify right side
    15,314.04x = 211,149,290.16
  5. Step 5: Solve for x
    x = 211,149,290.16/15,314.04
  6. Step 6: Final answer
    x = 13,787.95

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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.