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Finding the Fourth Proportional to 13,086.50, 19,603.47 and 6,492.74

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Solution

The fourth proportional to 13,086.50, 19,603.47 and 6,492.74 is: 9,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.50 : 19,603.47 = 6,492.74 : x
  2. Step 2: Convert to fraction form
    13,086.50/19,603.47 = 6,492.74/x
  3. Step 3: Cross multiply
    13,086.50x = 19,603.47 × 6,492.74
  4. Step 4: Simplify right side
    13,086.50x = 127,280,233.81
  5. Step 5: Solve for x
    x = 127,280,233.81/13,086.50
  6. Step 6: Final answer
    x = 9,726.07

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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.