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Finding the Fourth Proportional to 13,233.34, 19,864.62 and 7,692.94

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Solution

The fourth proportional to 13,233.34, 19,864.62 and 7,692.94 is: 11,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.34 : 19,864.62 = 7,692.94 : x
  2. Step 2: Convert to fraction form
    13,233.34/19,864.62 = 7,692.94/x
  3. Step 3: Cross multiply
    13,233.34x = 19,864.62 × 7,692.94
  4. Step 4: Simplify right side
    13,233.34x = 152,817,329.78
  5. Step 5: Solve for x
    x = 152,817,329.78/13,233.34
  6. Step 6: Final answer
    x = 11,547.90

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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.