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Finding the Fourth Proportional to 13,123.72, 19,693.68 and 7,588

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Solution

The fourth proportional to 13,123.72, 19,693.68 and 7,588 is: 11,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.72 : 19,693.68 = 7,588 : x
  2. Step 2: Convert to fraction form
    13,123.72/19,693.68 = 7,588/x
  3. Step 3: Cross multiply
    13,123.72x = 19,693.68 × 7,588
  4. Step 4: Simplify right side
    13,123.72x = 149,435,643.84
  5. Step 5: Solve for x
    x = 149,435,643.84/13,123.72
  6. Step 6: Final answer
    x = 11,386.68

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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.