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Finding the Fourth Proportional to 34,010.19, 51,007.18 and 14,289.13

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Solution

The fourth proportional to 34,010.19, 51,007.18 and 14,289.13 is: 21,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.19 : 51,007.18 = 14,289.13 : x
  2. Step 2: Convert to fraction form
    34,010.19/51,007.18 = 14,289.13/x
  3. Step 3: Cross multiply
    34,010.19x = 51,007.18 × 14,289.13
  4. Step 4: Simplify right side
    34,010.19x = 728,848,225.95
  5. Step 5: Solve for x
    x = 728,848,225.95/34,010.19
  6. Step 6: Final answer
    x = 21,430.29

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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.