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Finding the Fourth Proportional to 14,262.48, 19,683 and 7,974.72

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Solution

The fourth proportional to 14,262.48, 19,683 and 7,974.72 is: 11,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.48 : 19,683 = 7,974.72 : x
  2. Step 2: Convert to fraction form
    14,262.48/19,683 = 7,974.72/x
  3. Step 3: Cross multiply
    14,262.48x = 19,683 × 7,974.72
  4. Step 4: Simplify right side
    14,262.48x = 156,966,413.76
  5. Step 5: Solve for x
    x = 156,966,413.76/14,262.48
  6. Step 6: Final answer
    x = 11,005.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.