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Finding the Fourth Proportional to 12,746.48, 19,098.15 and 7,805.81

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Solution

The fourth proportional to 12,746.48, 19,098.15 and 7,805.81 is: 11,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.48 : 19,098.15 = 7,805.81 : x
  2. Step 2: Convert to fraction form
    12,746.48/19,098.15 = 7,805.81/x
  3. Step 3: Cross multiply
    12,746.48x = 19,098.15 × 7,805.81
  4. Step 4: Simplify right side
    12,746.48x = 149,076,434.76
  5. Step 5: Solve for x
    x = 149,076,434.76/12,746.48
  6. Step 6: Final answer
    x = 11,695.50

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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.