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Finding the Fourth Proportional to 24,712.84, 37,071.06 and 6,946.12

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Solution

The fourth proportional to 24,712.84, 37,071.06 and 6,946.12 is: 10,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.84 : 37,071.06 = 6,946.12 : x
  2. Step 2: Convert to fraction form
    24,712.84/37,071.06 = 6,946.12/x
  3. Step 3: Cross multiply
    24,712.84x = 37,071.06 × 6,946.12
  4. Step 4: Simplify right side
    24,712.84x = 257,500,031.29
  5. Step 5: Solve for x
    x = 257,500,031.29/24,712.84
  6. Step 6: Final answer
    x = 10,419.69

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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.