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Finding the Fourth Proportional to 14,008.80, 21,013.20 and 11,416.80

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Solution

The fourth proportional to 14,008.80, 21,013.20 and 11,416.80 is: 17,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.80 : 21,013.20 = 11,416.80 : x
  2. Step 2: Convert to fraction form
    14,008.80/21,013.20 = 11,416.80/x
  3. Step 3: Cross multiply
    14,008.80x = 21,013.20 × 11,416.80
  4. Step 4: Simplify right side
    14,008.80x = 239,903,501.76
  5. Step 5: Solve for x
    x = 239,903,501.76/14,008.80
  6. Step 6: Final answer
    x = 17,125.20

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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.