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Finding the Fourth Proportional to 19,688.86, 29,523.57 and 7,199.47

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Solution

The fourth proportional to 19,688.86, 29,523.57 and 7,199.47 is: 10,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.86 : 29,523.57 = 7,199.47 : x
  2. Step 2: Convert to fraction form
    19,688.86/29,523.57 = 7,199.47/x
  3. Step 3: Cross multiply
    19,688.86x = 29,523.57 × 7,199.47
  4. Step 4: Simplify right side
    19,688.86x = 212,554,056.51
  5. Step 5: Solve for x
    x = 212,554,056.51/19,688.86
  6. Step 6: Final answer
    x = 10,795.65

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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.