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Finding the Fourth Proportional to 15,705.33, 21,670.90 and 10,045.14

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Solution

The fourth proportional to 15,705.33, 21,670.90 and 10,045.14 is: 13,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.33 : 21,670.90 = 10,045.14 : x
  2. Step 2: Convert to fraction form
    15,705.33/21,670.90 = 10,045.14/x
  3. Step 3: Cross multiply
    15,705.33x = 21,670.90 × 10,045.14
  4. Step 4: Simplify right side
    15,705.33x = 217,687,224.43
  5. Step 5: Solve for x
    x = 217,687,224.43/15,705.33
  6. Step 6: Final answer
    x = 13,860.72

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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.