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Finding the Fourth Proportional to 30,802.68, 42,506.64 and 17,374.32

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Solution

The fourth proportional to 30,802.68, 42,506.64 and 17,374.32 is: 23,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.68 : 42,506.64 = 17,374.32 : x
  2. Step 2: Convert to fraction form
    30,802.68/42,506.64 = 17,374.32/x
  3. Step 3: Cross multiply
    30,802.68x = 42,506.64 × 17,374.32
  4. Step 4: Simplify right side
    30,802.68x = 738,523,965.48
  5. Step 5: Solve for x
    x = 738,523,965.48/30,802.68
  6. Step 6: Final answer
    x = 23,975.96

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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.