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Finding the Fourth Proportional to 13,021.95, 17,970.30 and 7,053.63

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Solution

The fourth proportional to 13,021.95, 17,970.30 and 7,053.63 is: 9,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.95 : 17,970.30 = 7,053.63 : x
  2. Step 2: Convert to fraction form
    13,021.95/17,970.30 = 7,053.63/x
  3. Step 3: Cross multiply
    13,021.95x = 17,970.30 × 7,053.63
  4. Step 4: Simplify right side
    13,021.95x = 126,755,847.19
  5. Step 5: Solve for x
    x = 126,755,847.19/13,021.95
  6. Step 6: Final answer
    x = 9,734.01

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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.