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Finding the Fourth Proportional to 25,875.77, 38,813.65 and 8,345.60

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Solution

The fourth proportional to 25,875.77, 38,813.65 and 8,345.60 is: 12,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.77 : 38,813.65 = 8,345.60 : x
  2. Step 2: Convert to fraction form
    25,875.77/38,813.65 = 8,345.60/x
  3. Step 3: Cross multiply
    25,875.77x = 38,813.65 × 8,345.60
  4. Step 4: Simplify right side
    25,875.77x = 323,923,003.37
  5. Step 5: Solve for x
    x = 323,923,003.37/25,875.77
  6. Step 6: Final answer
    x = 12,518.39

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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.