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Finding the Fourth Proportional to 21,530.51, 29,712.81 and 13,034.16

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Solution

The fourth proportional to 21,530.51, 29,712.81 and 13,034.16 is: 17,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.51 : 29,712.81 = 13,034.16 : x
  2. Step 2: Convert to fraction form
    21,530.51/29,712.81 = 13,034.16/x
  3. Step 3: Cross multiply
    21,530.51x = 29,712.81 × 13,034.16
  4. Step 4: Simplify right side
    21,530.51x = 387,281,568.47
  5. Step 5: Solve for x
    x = 387,281,568.47/21,530.51
  6. Step 6: Final answer
    x = 17,987.57

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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.