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Finding the Fourth Proportional to 25,864.50, 35,693.06 and 14,686.50

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Solution

The fourth proportional to 25,864.50, 35,693.06 and 14,686.50 is: 20,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.50 : 35,693.06 = 14,686.50 : x
  2. Step 2: Convert to fraction form
    25,864.50/35,693.06 = 14,686.50/x
  3. Step 3: Cross multiply
    25,864.50x = 35,693.06 × 14,686.50
  4. Step 4: Simplify right side
    25,864.50x = 524,206,052.26
  5. Step 5: Solve for x
    x = 524,206,052.26/25,864.50
  6. Step 6: Final answer
    x = 20,267.40

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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.