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Finding the Fourth Proportional to 35,647.86, 53,460.99 and 14,866.50

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Solution

The fourth proportional to 35,647.86, 53,460.99 and 14,866.50 is: 22,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.86 : 53,460.99 = 14,866.50 : x
  2. Step 2: Convert to fraction form
    35,647.86/53,460.99 = 14,866.50/x
  3. Step 3: Cross multiply
    35,647.86x = 53,460.99 × 14,866.50
  4. Step 4: Simplify right side
    35,647.86x = 794,777,807.84
  5. Step 5: Solve for x
    x = 794,777,807.84/35,647.86
  6. Step 6: Final answer
    x = 22,295.25

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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.