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Finding the Fourth Proportional to 14,123.22, 19,490.86 and 8,536.02

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Solution

The fourth proportional to 14,123.22, 19,490.86 and 8,536.02 is: 11,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.22 : 19,490.86 = 8,536.02 : x
  2. Step 2: Convert to fraction form
    14,123.22/19,490.86 = 8,536.02/x
  3. Step 3: Cross multiply
    14,123.22x = 19,490.86 × 8,536.02
  4. Step 4: Simplify right side
    14,123.22x = 166,374,328.10
  5. Step 5: Solve for x
    x = 166,374,328.10/14,123.22
  6. Step 6: Final answer
    x = 11,780.20

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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.