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Finding the Fourth Proportional to 29,567.84, 40,802.97 and 16,139.32

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Solution

The fourth proportional to 29,567.84, 40,802.97 and 16,139.32 is: 22,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.84 : 40,802.97 = 16,139.32 : x
  2. Step 2: Convert to fraction form
    29,567.84/40,802.97 = 16,139.32/x
  3. Step 3: Cross multiply
    29,567.84x = 40,802.97 × 16,139.32
  4. Step 4: Simplify right side
    29,567.84x = 658,531,905.07
  5. Step 5: Solve for x
    x = 658,531,905.07/29,567.84
  6. Step 6: Final answer
    x = 22,271.90

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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.