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Finding the Fourth Proportional to 19,267.92, 26,588.88 and 10,770

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Solution

The fourth proportional to 19,267.92, 26,588.88 and 10,770 is: 14,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,267.92 : 26,588.88 = 10,770 : x
  2. Step 2: Convert to fraction form
    19,267.92/26,588.88 = 10,770/x
  3. Step 3: Cross multiply
    19,267.92x = 26,588.88 × 10,770
  4. Step 4: Simplify right side
    19,267.92x = 286,362,237.60
  5. Step 5: Solve for x
    x = 286,362,237.60/19,267.92
  6. Step 6: Final answer
    x = 14,862.13

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Why These Related Problems?

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