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Finding the Fourth Proportional to 13,148.74, 19,707.43 and 7,590.34

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Solution

The fourth proportional to 13,148.74, 19,707.43 and 7,590.34 is: 11,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.74 : 19,707.43 = 7,590.34 : x
  2. Step 2: Convert to fraction form
    13,148.74/19,707.43 = 7,590.34/x
  3. Step 3: Cross multiply
    13,148.74x = 19,707.43 × 7,590.34
  4. Step 4: Simplify right side
    13,148.74x = 149,586,056.27
  5. Step 5: Solve for x
    x = 149,586,056.27/13,148.74
  6. Step 6: Final answer
    x = 11,376.46

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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.