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Finding the Fourth Proportional to 29,944.32, 44,927.20 and 12,840

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Solution

The fourth proportional to 29,944.32, 44,927.20 and 12,840 is: 19,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,944.32 : 44,927.20 = 12,840 : x
  2. Step 2: Convert to fraction form
    29,944.32/44,927.20 = 12,840/x
  3. Step 3: Cross multiply
    29,944.32x = 44,927.20 × 12,840
  4. Step 4: Simplify right side
    29,944.32x = 576,865,248
  5. Step 5: Solve for x
    x = 576,865,248/29,944.32
  6. Step 6: Final answer
    x = 19,264.60

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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.