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Finding the Fourth Proportional to 14,538.22, 20,065.34 and 8,569.53

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Solution

The fourth proportional to 14,538.22, 20,065.34 and 8,569.53 is: 11,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.22 : 20,065.34 = 8,569.53 : x
  2. Step 2: Convert to fraction form
    14,538.22/20,065.34 = 8,569.53/x
  3. Step 3: Cross multiply
    14,538.22x = 20,065.34 × 8,569.53
  4. Step 4: Simplify right side
    14,538.22x = 171,950,554.51
  5. Step 5: Solve for x
    x = 171,950,554.51/14,538.22
  6. Step 6: Final answer
    x = 11,827.49

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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.