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Finding the Fourth Proportional to 19,645.64, 27,111.05 and 10,693.06

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Solution

The fourth proportional to 19,645.64, 27,111.05 and 10,693.06 is: 14,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.64 : 27,111.05 = 10,693.06 : x
  2. Step 2: Convert to fraction form
    19,645.64/27,111.05 = 10,693.06/x
  3. Step 3: Cross multiply
    19,645.64x = 27,111.05 × 10,693.06
  4. Step 4: Simplify right side
    19,645.64x = 289,900,215.82
  5. Step 5: Solve for x
    x = 289,900,215.82/19,645.64
  6. Step 6: Final answer
    x = 14,756.47

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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.