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Finding the Fourth Proportional to 19,298.50, 26,631.93 and 10,466.50

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Solution

The fourth proportional to 19,298.50, 26,631.93 and 10,466.50 is: 14,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.50 : 26,631.93 = 10,466.50 : x
  2. Step 2: Convert to fraction form
    19,298.50/26,631.93 = 10,466.50/x
  3. Step 3: Cross multiply
    19,298.50x = 26,631.93 × 10,466.50
  4. Step 4: Simplify right side
    19,298.50x = 278,743,095.35
  5. Step 5: Solve for x
    x = 278,743,095.35/19,298.50
  6. Step 6: Final answer
    x = 14,443.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.