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Finding the Fourth Proportional to 14,331.78, 21,506.31 and 5,574.06

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Solution

The fourth proportional to 14,331.78, 21,506.31 and 5,574.06 is: 8,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.78 : 21,506.31 = 5,574.06 : x
  2. Step 2: Convert to fraction form
    14,331.78/21,506.31 = 5,574.06/x
  3. Step 3: Cross multiply
    14,331.78x = 21,506.31 × 5,574.06
  4. Step 4: Simplify right side
    14,331.78x = 119,877,462.32
  5. Step 5: Solve for x
    x = 119,877,462.32/14,331.78
  6. Step 6: Final answer
    x = 8,364.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.