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Finding the Fourth Proportional to 22,205.10, 30,656.70 and 14,261.32

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Solution

The fourth proportional to 22,205.10, 30,656.70 and 14,261.32 is: 19,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.10 : 30,656.70 = 14,261.32 : x
  2. Step 2: Convert to fraction form
    22,205.10/30,656.70 = 14,261.32/x
  3. Step 3: Cross multiply
    22,205.10x = 30,656.70 × 14,261.32
  4. Step 4: Simplify right side
    22,205.10x = 437,205,008.84
  5. Step 5: Solve for x
    x = 437,205,008.84/22,205.10
  6. Step 6: Final answer
    x = 19,689.40

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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.