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Finding the Fourth Proportional to 23,875.77, 35,813.62 and 6,345.60

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Solution

The fourth proportional to 23,875.77, 35,813.62 and 6,345.60 is: 9,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.77 : 35,813.62 = 6,345.60 : x
  2. Step 2: Convert to fraction form
    23,875.77/35,813.62 = 6,345.60/x
  3. Step 3: Cross multiply
    23,875.77x = 35,813.62 × 6,345.60
  4. Step 4: Simplify right side
    23,875.77x = 227,258,907.07
  5. Step 5: Solve for x
    x = 227,258,907.07/23,875.77
  6. Step 6: Final answer
    x = 9,518.39

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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.