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Finding the Fourth Proportional to 34,538.00, 51,823.40 and 14,822.19

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Solution

The fourth proportional to 34,538.00, 51,823.40 and 14,822.19 is: 22,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.00 : 51,823.40 = 14,822.19 : x
  2. Step 2: Convert to fraction form
    34,538.00/51,823.40 = 14,822.19/x
  3. Step 3: Cross multiply
    34,538.00x = 51,823.40 × 14,822.19
  4. Step 4: Simplify right side
    34,538.00x = 768,136,207.14
  5. Step 5: Solve for x
    x = 768,136,207.14/34,538.00
  6. Step 6: Final answer
    x = 22,240.32

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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.