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Finding the Fourth Proportional to 13,024.64, 17,973.98 and 7,056.33

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Solution

The fourth proportional to 13,024.64, 17,973.98 and 7,056.33 is: 9,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.64 : 17,973.98 = 7,056.33 : x
  2. Step 2: Convert to fraction form
    13,024.64/17,973.98 = 7,056.33/x
  3. Step 3: Cross multiply
    13,024.64x = 17,973.98 × 7,056.33
  4. Step 4: Simplify right side
    13,024.64x = 126,830,334.29
  5. Step 5: Solve for x
    x = 126,830,334.29/13,024.64
  6. Step 6: Final answer
    x = 9,737.72

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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.