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Finding the Fourth Proportional to 19,205.76, 26,504.16 and 10,822.08

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Solution

The fourth proportional to 19,205.76, 26,504.16 and 10,822.08 is: 14,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.76 : 26,504.16 = 10,822.08 : x
  2. Step 2: Convert to fraction form
    19,205.76/26,504.16 = 10,822.08/x
  3. Step 3: Cross multiply
    19,205.76x = 26,504.16 × 10,822.08
  4. Step 4: Simplify right side
    19,205.76x = 286,830,139.85
  5. Step 5: Solve for x
    x = 286,830,139.85/19,205.76
  6. Step 6: Final answer
    x = 14,934.59

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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.