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Finding the Fourth Proportional to 13,870.24, 20,805.51 and 4,009.61

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Solution

The fourth proportional to 13,870.24, 20,805.51 and 4,009.61 is: 6,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.24 : 20,805.51 = 4,009.61 : x
  2. Step 2: Convert to fraction form
    13,870.24/20,805.51 = 4,009.61/x
  3. Step 3: Cross multiply
    13,870.24x = 20,805.51 × 4,009.61
  4. Step 4: Simplify right side
    13,870.24x = 83,421,904.53
  5. Step 5: Solve for x
    x = 83,421,904.53/13,870.24
  6. Step 6: Final answer
    x = 6,014.45

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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.