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Finding the Fourth Proportional to 13,125.71, 19,688.93 and 4,241.42

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Solution

The fourth proportional to 13,125.71, 19,688.93 and 4,241.42 is: 6,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.71 : 19,688.93 = 4,241.42 : x
  2. Step 2: Convert to fraction form
    13,125.71/19,688.93 = 4,241.42/x
  3. Step 3: Cross multiply
    13,125.71x = 19,688.93 × 4,241.42
  4. Step 4: Simplify right side
    13,125.71x = 83,509,000.27
  5. Step 5: Solve for x
    x = 83,509,000.27/13,125.71
  6. Step 6: Final answer
    x = 6,362.25

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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.