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Finding the Fourth Proportional to 14,706.42, 22,057.80 and 8,706.06

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Solution

The fourth proportional to 14,706.42, 22,057.80 and 8,706.06 is: 13,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.42 : 22,057.80 = 8,706.06 : x
  2. Step 2: Convert to fraction form
    14,706.42/22,057.80 = 8,706.06/x
  3. Step 3: Cross multiply
    14,706.42x = 22,057.80 × 8,706.06
  4. Step 4: Simplify right side
    14,706.42x = 192,036,585.41
  5. Step 5: Solve for x
    x = 192,036,585.41/14,706.42
  6. Step 6: Final answer
    x = 13,058.01

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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.