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Finding the Fourth Proportional to 23,058.84, 31,810.14 and 15,097.56

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Solution

The fourth proportional to 23,058.84, 31,810.14 and 15,097.56 is: 20,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.84 : 31,810.14 = 15,097.56 : x
  2. Step 2: Convert to fraction form
    23,058.84/31,810.14 = 15,097.56/x
  3. Step 3: Cross multiply
    23,058.84x = 31,810.14 × 15,097.56
  4. Step 4: Simplify right side
    23,058.84x = 480,255,497.26
  5. Step 5: Solve for x
    x = 480,255,497.26/23,058.84
  6. Step 6: Final answer
    x = 20,827.39

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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.