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Finding the Fourth Proportional to 24,856.84, 34,302.50 and 13,526.33

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Solution

The fourth proportional to 24,856.84, 34,302.50 and 13,526.33 is: 18,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.84 : 34,302.50 = 13,526.33 : x
  2. Step 2: Convert to fraction form
    24,856.84/34,302.50 = 13,526.33/x
  3. Step 3: Cross multiply
    24,856.84x = 34,302.50 × 13,526.33
  4. Step 4: Simplify right side
    24,856.84x = 463,986,934.83
  5. Step 5: Solve for x
    x = 463,986,934.83/24,856.84
  6. Step 6: Final answer
    x = 18,666.37

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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.