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Finding the Fourth Proportional to 12,814.10, 19,235.55 and 9,905.30

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Solution

The fourth proportional to 12,814.10, 19,235.55 and 9,905.30 is: 14,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.10 : 19,235.55 = 9,905.30 : x
  2. Step 2: Convert to fraction form
    12,814.10/19,235.55 = 9,905.30/x
  3. Step 3: Cross multiply
    12,814.10x = 19,235.55 × 9,905.30
  4. Step 4: Simplify right side
    12,814.10x = 190,533,893.42
  5. Step 5: Solve for x
    x = 190,533,893.42/12,814.10
  6. Step 6: Final answer
    x = 14,869.08

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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.