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Finding the Fourth Proportional to 23,417.84, 35,084.22 and 13,536.24

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Solution

The fourth proportional to 23,417.84, 35,084.22 and 13,536.24 is: 20,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.84 : 35,084.22 = 13,536.24 : x
  2. Step 2: Convert to fraction form
    23,417.84/35,084.22 = 13,536.24/x
  3. Step 3: Cross multiply
    23,417.84x = 35,084.22 × 13,536.24
  4. Step 4: Simplify right side
    23,417.84x = 474,908,422.13
  5. Step 5: Solve for x
    x = 474,908,422.13/23,417.84
  6. Step 6: Final answer
    x = 20,279.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.