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Finding the Fourth Proportional to 12,985.92, 19,476.96 and 4,776

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Solution

The fourth proportional to 12,985.92, 19,476.96 and 4,776 is: 7,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.92 : 19,476.96 = 4,776 : x
  2. Step 2: Convert to fraction form
    12,985.92/19,476.96 = 4,776/x
  3. Step 3: Cross multiply
    12,985.92x = 19,476.96 × 4,776
  4. Step 4: Simplify right side
    12,985.92x = 93,021,960.96
  5. Step 5: Solve for x
    x = 93,021,960.96/12,985.92
  6. Step 6: Final answer
    x = 7,163.29

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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.