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Finding the Fourth Proportional to 15,917.80, 23,816.66 and 14,301

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Solution

The fourth proportional to 15,917.80, 23,816.66 and 14,301 is: 21,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.80 : 23,816.66 = 14,301 : x
  2. Step 2: Convert to fraction form
    15,917.80/23,816.66 = 14,301/x
  3. Step 3: Cross multiply
    15,917.80x = 23,816.66 × 14,301
  4. Step 4: Simplify right side
    15,917.80x = 340,602,054.66
  5. Step 5: Solve for x
    x = 340,602,054.66/15,917.80
  6. Step 6: Final answer
    x = 21,397.56

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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.