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Finding the Fourth Proportional to 14,226, 19,631.80 and 8,261.16

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Solution

The fourth proportional to 14,226, 19,631.80 and 8,261.16 is: 11,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226 : 19,631.80 = 8,261.16 : x
  2. Step 2: Convert to fraction form
    14,226/19,631.80 = 8,261.16/x
  3. Step 3: Cross multiply
    14,226x = 19,631.80 × 8,261.16
  4. Step 4: Simplify right side
    14,226x = 162,181,440.89
  5. Step 5: Solve for x
    x = 162,181,440.89/14,226
  6. Step 6: Final answer
    x = 11,400.35

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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.