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Finding the Fourth Proportional to 14,282.76, 19,703.34 and 9,247.80

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Solution

The fourth proportional to 14,282.76, 19,703.34 and 9,247.80 is: 12,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.76 : 19,703.34 = 9,247.80 : x
  2. Step 2: Convert to fraction form
    14,282.76/19,703.34 = 9,247.80/x
  3. Step 3: Cross multiply
    14,282.76x = 19,703.34 × 9,247.80
  4. Step 4: Simplify right side
    14,282.76x = 182,212,547.65
  5. Step 5: Solve for x
    x = 182,212,547.65/14,282.76
  6. Step 6: Final answer
    x = 12,757.52

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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.