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Finding the Fourth Proportional to 26,012.34, 35,897.49 and 14,684.10

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Solution

The fourth proportional to 26,012.34, 35,897.49 and 14,684.10 is: 20,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012.34 : 35,897.49 = 14,684.10 : x
  2. Step 2: Convert to fraction form
    26,012.34/35,897.49 = 14,684.10/x
  3. Step 3: Cross multiply
    26,012.34x = 35,897.49 × 14,684.10
  4. Step 4: Simplify right side
    26,012.34x = 527,122,332.91
  5. Step 5: Solve for x
    x = 527,122,332.91/26,012.34
  6. Step 6: Final answer
    x = 20,264.32

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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.