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Finding the Fourth Proportional to 24,742.77, 37,104.93 and 9,946.70

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Solution

The fourth proportional to 24,742.77, 37,104.93 and 9,946.70 is: 14,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.77 : 37,104.93 = 9,946.70 : x
  2. Step 2: Convert to fraction form
    24,742.77/37,104.93 = 9,946.70/x
  3. Step 3: Cross multiply
    24,742.77x = 37,104.93 × 9,946.70
  4. Step 4: Simplify right side
    24,742.77x = 369,071,421.71
  5. Step 5: Solve for x
    x = 369,071,421.71/24,742.77
  6. Step 6: Final answer
    x = 14,916.33

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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.