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Finding the Fourth Proportional to 22,300.64, 30,773.68 and 12,364

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Solution

The fourth proportional to 22,300.64, 30,773.68 and 12,364 is: 17,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.64 : 30,773.68 = 12,364 : x
  2. Step 2: Convert to fraction form
    22,300.64/30,773.68 = 12,364/x
  3. Step 3: Cross multiply
    22,300.64x = 30,773.68 × 12,364
  4. Step 4: Simplify right side
    22,300.64x = 380,485,779.52
  5. Step 5: Solve for x
    x = 380,485,779.52/22,300.64
  6. Step 6: Final answer
    x = 17,061.65

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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.