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Finding the Fourth Proportional to 15,806.70, 21,810.33 and 10,142.46

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Solution

The fourth proportional to 15,806.70, 21,810.33 and 10,142.46 is: 13,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.70 : 21,810.33 = 10,142.46 : x
  2. Step 2: Convert to fraction form
    15,806.70/21,810.33 = 10,142.46/x
  3. Step 3: Cross multiply
    15,806.70x = 21,810.33 × 10,142.46
  4. Step 4: Simplify right side
    15,806.70x = 221,210,399.61
  5. Step 5: Solve for x
    x = 221,210,399.61/15,806.70
  6. Step 6: Final answer
    x = 13,994.72

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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.