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Finding the Fourth Proportional to 13,000.98, 17,941.37 and 7,032.63

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Solution

The fourth proportional to 13,000.98, 17,941.37 and 7,032.63 is: 9,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.98 : 17,941.37 = 7,032.63 : x
  2. Step 2: Convert to fraction form
    13,000.98/17,941.37 = 7,032.63/x
  3. Step 3: Cross multiply
    13,000.98x = 17,941.37 × 7,032.63
  4. Step 4: Simplify right side
    13,000.98x = 126,174,981.74
  5. Step 5: Solve for x
    x = 126,174,981.74/13,000.98
  6. Step 6: Final answer
    x = 9,705.04

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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.