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Finding the Fourth Proportional to 22,595.83, 33,897.51 and 7,800.77

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Solution

The fourth proportional to 22,595.83, 33,897.51 and 7,800.77 is: 11,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.83 : 33,897.51 = 7,800.77 : x
  2. Step 2: Convert to fraction form
    22,595.83/33,897.51 = 7,800.77/x
  3. Step 3: Cross multiply
    22,595.83x = 33,897.51 × 7,800.77
  4. Step 4: Simplify right side
    22,595.83x = 264,426,763.83
  5. Step 5: Solve for x
    x = 264,426,763.83/22,595.83
  6. Step 6: Final answer
    x = 11,702.46

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