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Finding the Fourth Proportional to 42,802.88, 64,204.52 and 11,638.13

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Solution

The fourth proportional to 42,802.88, 64,204.52 and 11,638.13 is: 17,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.88 : 64,204.52 = 11,638.13 : x
  2. Step 2: Convert to fraction form
    42,802.88/64,204.52 = 11,638.13/x
  3. Step 3: Cross multiply
    42,802.88x = 64,204.52 × 11,638.13
  4. Step 4: Simplify right side
    42,802.88x = 747,220,171.13
  5. Step 5: Solve for x
    x = 747,220,171.13/42,802.88
  6. Step 6: Final answer
    x = 17,457.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.