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Finding the Fourth Proportional to 21,212, 29,300.14 and 16,145.48

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Solution

The fourth proportional to 21,212, 29,300.14 and 16,145.48 is: 22,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 29,300.14 = 16,145.48 : x
  2. Step 2: Convert to fraction form
    21,212/29,300.14 = 16,145.48/x
  3. Step 3: Cross multiply
    21,212x = 29,300.14 × 16,145.48
  4. Step 4: Simplify right side
    21,212x = 473,064,824.37
  5. Step 5: Solve for x
    x = 473,064,824.37/21,212
  6. Step 6: Final answer
    x = 22,301.75

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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.