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Finding the Fourth Proportional to 24,802.14, 37,193.93 and 10,002.99

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Solution

The fourth proportional to 24,802.14, 37,193.93 and 10,002.99 is: 15,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.14 : 37,193.93 = 10,002.99 : x
  2. Step 2: Convert to fraction form
    24,802.14/37,193.93 = 10,002.99/x
  3. Step 3: Cross multiply
    24,802.14x = 37,193.93 × 10,002.99
  4. Step 4: Simplify right side
    24,802.14x = 372,050,459.84
  5. Step 5: Solve for x
    x = 372,050,459.84/24,802.14
  6. Step 6: Final answer
    x = 15,000.74

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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.