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Finding the Fourth Proportional to 13,097, 19,618.76 and 10,898.66

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Solution

The fourth proportional to 13,097, 19,618.76 and 10,898.66 is: 16,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097 : 19,618.76 = 10,898.66 : x
  2. Step 2: Convert to fraction form
    13,097/19,618.76 = 10,898.66/x
  3. Step 3: Cross multiply
    13,097x = 19,618.76 × 10,898.66
  4. Step 4: Simplify right side
    13,097x = 213,818,194.86
  5. Step 5: Solve for x
    x = 213,818,194.86/13,097
  6. Step 6: Final answer
    x = 16,325.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.