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Finding the Fourth Proportional to 34,402.16, 51,594.56 and 13,334.96

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Solution

The fourth proportional to 34,402.16, 51,594.56 and 13,334.96 is: 19,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.16 : 51,594.56 = 13,334.96 : x
  2. Step 2: Convert to fraction form
    34,402.16/51,594.56 = 13,334.96/x
  3. Step 3: Cross multiply
    34,402.16x = 51,594.56 × 13,334.96
  4. Step 4: Simplify right side
    34,402.16x = 688,011,069.17
  5. Step 5: Solve for x
    x = 688,011,069.17/34,402.16
  6. Step 6: Final answer
    x = 19,999.07

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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.