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Finding the Fourth Proportional to 19,511.10, 29,266.65 and 9,651.90

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Solution

The fourth proportional to 19,511.10, 29,266.65 and 9,651.90 is: 14,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.10 : 29,266.65 = 9,651.90 : x
  2. Step 2: Convert to fraction form
    19,511.10/29,266.65 = 9,651.90/x
  3. Step 3: Cross multiply
    19,511.10x = 29,266.65 × 9,651.90
  4. Step 4: Simplify right side
    19,511.10x = 282,478,779.14
  5. Step 5: Solve for x
    x = 282,478,779.14/19,511.10
  6. Step 6: Final answer
    x = 14,477.85

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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.