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Finding the Fourth Proportional to 19,225.48, 28,813.10 and 9,857.56

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Solution

The fourth proportional to 19,225.48, 28,813.10 and 9,857.56 is: 14,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225.48 : 28,813.10 = 9,857.56 : x
  2. Step 2: Convert to fraction form
    19,225.48/28,813.10 = 9,857.56/x
  3. Step 3: Cross multiply
    19,225.48x = 28,813.10 × 9,857.56
  4. Step 4: Simplify right side
    19,225.48x = 284,026,862.04
  5. Step 5: Solve for x
    x = 284,026,862.04/19,225.48
  6. Step 6: Final answer
    x = 14,773.46

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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.