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Finding the Fourth Proportional to 22,409.46, 30,924.18 and 12,978.02

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Solution

The fourth proportional to 22,409.46, 30,924.18 and 12,978.02 is: 17,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.46 : 30,924.18 = 12,978.02 : x
  2. Step 2: Convert to fraction form
    22,409.46/30,924.18 = 12,978.02/x
  3. Step 3: Cross multiply
    22,409.46x = 30,924.18 × 12,978.02
  4. Step 4: Simplify right side
    22,409.46x = 401,334,703.83
  5. Step 5: Solve for x
    x = 401,334,703.83/22,409.46
  6. Step 6: Final answer
    x = 17,909.16

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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.