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Finding the Fourth Proportional to 14,257.10, 21,386.02 and 6,758.90

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Solution

The fourth proportional to 14,257.10, 21,386.02 and 6,758.90 is: 10,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.10 : 21,386.02 = 6,758.90 : x
  2. Step 2: Convert to fraction form
    14,257.10/21,386.02 = 6,758.90/x
  3. Step 3: Cross multiply
    14,257.10x = 21,386.02 × 6,758.90
  4. Step 4: Simplify right side
    14,257.10x = 144,545,970.58
  5. Step 5: Solve for x
    x = 144,545,970.58/14,257.10
  6. Step 6: Final answer
    x = 10,138.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.