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Finding the Fourth Proportional to 21,070.49, 29,077.38 and 11,510.51

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Solution

The fourth proportional to 21,070.49, 29,077.38 and 11,510.51 is: 15,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.49 : 29,077.38 = 11,510.51 : x
  2. Step 2: Convert to fraction form
    21,070.49/29,077.38 = 11,510.51/x
  3. Step 3: Cross multiply
    21,070.49x = 29,077.38 × 11,510.51
  4. Step 4: Simplify right side
    21,070.49x = 334,695,473.26
  5. Step 5: Solve for x
    x = 334,695,473.26/21,070.49
  6. Step 6: Final answer
    x = 15,884.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.