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Finding the Fourth Proportional to 34,004.84, 51,017.18 and 14,273

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Solution

The fourth proportional to 34,004.84, 51,017.18 and 14,273 is: 21,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004.84 : 51,017.18 = 14,273 : x
  2. Step 2: Convert to fraction form
    34,004.84/51,017.18 = 14,273/x
  3. Step 3: Cross multiply
    34,004.84x = 51,017.18 × 14,273
  4. Step 4: Simplify right side
    34,004.84x = 728,168,210.14
  5. Step 5: Solve for x
    x = 728,168,210.14/34,004.84
  6. Step 6: Final answer
    x = 21,413.66

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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.