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Finding the Fourth Proportional to 13,024.63, 17,973.93 and 7,056.28

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Solution

The fourth proportional to 13,024.63, 17,973.93 and 7,056.28 is: 9,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.63 : 17,973.93 = 7,056.28 : x
  2. Step 2: Convert to fraction form
    13,024.63/17,973.93 = 7,056.28/x
  3. Step 3: Cross multiply
    13,024.63x = 17,973.93 × 7,056.28
  4. Step 4: Simplify right side
    13,024.63x = 126,829,082.78
  5. Step 5: Solve for x
    x = 126,829,082.78/13,024.63
  6. Step 6: Final answer
    x = 9,737.63

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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.