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Finding the Fourth Proportional to 21,030.32, 29,022 and 11,600.48

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Solution

The fourth proportional to 21,030.32, 29,022 and 11,600.48 is: 16,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.32 : 29,022 = 11,600.48 : x
  2. Step 2: Convert to fraction form
    21,030.32/29,022 = 11,600.48/x
  3. Step 3: Cross multiply
    21,030.32x = 29,022 × 11,600.48
  4. Step 4: Simplify right side
    21,030.32x = 336,669,130.56
  5. Step 5: Solve for x
    x = 336,669,130.56/21,030.32
  6. Step 6: Final answer
    x = 16,008.75

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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.