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Finding the Fourth Proportional to 13,024.51, 17,973.83 and 7,056.19

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Solution

The fourth proportional to 13,024.51, 17,973.83 and 7,056.19 is: 9,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.51 : 17,973.83 = 7,056.19 : x
  2. Step 2: Convert to fraction form
    13,024.51/17,973.83 = 7,056.19/x
  3. Step 3: Cross multiply
    13,024.51x = 17,973.83 × 7,056.19
  4. Step 4: Simplify right side
    13,024.51x = 126,826,679.29
  5. Step 5: Solve for x
    x = 126,826,679.29/13,024.51
  6. Step 6: Final answer
    x = 9,737.54

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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.