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Finding the Fourth Proportional to 14,176.74, 19,563.07 and 7,802.25

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Solution

The fourth proportional to 14,176.74, 19,563.07 and 7,802.25 is: 10,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.74 : 19,563.07 = 7,802.25 : x
  2. Step 2: Convert to fraction form
    14,176.74/19,563.07 = 7,802.25/x
  3. Step 3: Cross multiply
    14,176.74x = 19,563.07 × 7,802.25
  4. Step 4: Simplify right side
    14,176.74x = 152,635,962.91
  5. Step 5: Solve for x
    x = 152,635,962.91/14,176.74
  6. Step 6: Final answer
    x = 10,766.65

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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.