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Finding the Fourth Proportional to 14,117.67, 21,184.65 and 7,543.80

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Solution

The fourth proportional to 14,117.67, 21,184.65 and 7,543.80 is: 11,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.67 : 21,184.65 = 7,543.80 : x
  2. Step 2: Convert to fraction form
    14,117.67/21,184.65 = 7,543.80/x
  3. Step 3: Cross multiply
    14,117.67x = 21,184.65 × 7,543.80
  4. Step 4: Simplify right side
    14,117.67x = 159,812,762.67
  5. Step 5: Solve for x
    x = 159,812,762.67/14,117.67
  6. Step 6: Final answer
    x = 11,320.05

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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.