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Finding the Fourth Proportional to 22,368, 30,867.84 and 12,942.03

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Solution

The fourth proportional to 22,368, 30,867.84 and 12,942.03 is: 17,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 30,867.84 = 12,942.03 : x
  2. Step 2: Convert to fraction form
    22,368/30,867.84 = 12,942.03/x
  3. Step 3: Cross multiply
    22,368x = 30,867.84 × 12,942.03
  4. Step 4: Simplify right side
    22,368x = 399,492,511.32
  5. Step 5: Solve for x
    x = 399,492,511.32/22,368
  6. Step 6: Final answer
    x = 17,860.00

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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.