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Finding the Fourth Proportional to 22,927.52, 31,626.54 and 14,416.16

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Solution

The fourth proportional to 22,927.52, 31,626.54 and 14,416.16 is: 19,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.52 : 31,626.54 = 14,416.16 : x
  2. Step 2: Convert to fraction form
    22,927.52/31,626.54 = 14,416.16/x
  3. Step 3: Cross multiply
    22,927.52x = 31,626.54 × 14,416.16
  4. Step 4: Simplify right side
    22,927.52x = 455,933,102.75
  5. Step 5: Solve for x
    x = 455,933,102.75/22,927.52
  6. Step 6: Final answer
    x = 19,885.84

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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.