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Finding the Fourth Proportional to 15,783.84, 23,635.38 and 15,316.68

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Solution

The fourth proportional to 15,783.84, 23,635.38 and 15,316.68 is: 22,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.84 : 23,635.38 = 15,316.68 : x
  2. Step 2: Convert to fraction form
    15,783.84/23,635.38 = 15,316.68/x
  3. Step 3: Cross multiply
    15,783.84x = 23,635.38 × 15,316.68
  4. Step 4: Simplify right side
    15,783.84x = 362,015,552.14
  5. Step 5: Solve for x
    x = 362,015,552.14/15,783.84
  6. Step 6: Final answer
    x = 22,935.84

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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.