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Finding the Fourth Proportional to 30,802.84, 42,507.86 and 17,374.05

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Solution

The fourth proportional to 30,802.84, 42,507.86 and 17,374.05 is: 23,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.84 : 42,507.86 = 17,374.05 : x
  2. Step 2: Convert to fraction form
    30,802.84/42,507.86 = 17,374.05/x
  3. Step 3: Cross multiply
    30,802.84x = 42,507.86 × 17,374.05
  4. Step 4: Simplify right side
    30,802.84x = 738,533,598.16
  5. Step 5: Solve for x
    x = 738,533,598.16/30,802.84
  6. Step 6: Final answer
    x = 23,976.15

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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.