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Finding the Fourth Proportional to 29,038.16, 43,560.12 and 8,261.84

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Solution

The fourth proportional to 29,038.16, 43,560.12 and 8,261.84 is: 12,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.16 : 43,560.12 = 8,261.84 : x
  2. Step 2: Convert to fraction form
    29,038.16/43,560.12 = 8,261.84/x
  3. Step 3: Cross multiply
    29,038.16x = 43,560.12 × 8,261.84
  4. Step 4: Simplify right side
    29,038.16x = 359,886,741.82
  5. Step 5: Solve for x
    x = 359,886,741.82/29,038.16
  6. Step 6: Final answer
    x = 12,393.58

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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.