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Finding the Fourth Proportional to 15,870.87, 21,894.74 and 10,204.58

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Solution

The fourth proportional to 15,870.87, 21,894.74 and 10,204.58 is: 14,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.87 : 21,894.74 = 10,204.58 : x
  2. Step 2: Convert to fraction form
    15,870.87/21,894.74 = 10,204.58/x
  3. Step 3: Cross multiply
    15,870.87x = 21,894.74 × 10,204.58
  4. Step 4: Simplify right side
    15,870.87x = 223,426,667.89
  5. Step 5: Solve for x
    x = 223,426,667.89/15,870.87
  6. Step 6: Final answer
    x = 14,077.78

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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.