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Finding the Fourth Proportional to 29,871.89, 44,780.14 and 13,223.05

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Solution

The fourth proportional to 29,871.89, 44,780.14 and 13,223.05 is: 19,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.89 : 44,780.14 = 13,223.05 : x
  2. Step 2: Convert to fraction form
    29,871.89/44,780.14 = 13,223.05/x
  3. Step 3: Cross multiply
    29,871.89x = 44,780.14 × 13,223.05
  4. Step 4: Simplify right side
    29,871.89x = 592,130,030.23
  5. Step 5: Solve for x
    x = 592,130,030.23/29,871.89
  6. Step 6: Final answer
    x = 19,822.32

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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.