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Finding the Fourth Proportional to 21,531.34, 29,712.99 and 12,101.50

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Solution

The fourth proportional to 21,531.34, 29,712.99 and 12,101.50 is: 16,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.34 : 29,712.99 = 12,101.50 : x
  2. Step 2: Convert to fraction form
    21,531.34/29,712.99 = 12,101.50/x
  3. Step 3: Cross multiply
    21,531.34x = 29,712.99 × 12,101.50
  4. Step 4: Simplify right side
    21,531.34x = 359,571,748.49
  5. Step 5: Solve for x
    x = 359,571,748.49/21,531.34
  6. Step 6: Final answer
    x = 16,699.92

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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.