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Finding the Fourth Proportional to 16,356.48, 24,534.62 and 9,784.50

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Solution

The fourth proportional to 16,356.48, 24,534.62 and 9,784.50 is: 14,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.48 : 24,534.62 = 9,784.50 : x
  2. Step 2: Convert to fraction form
    16,356.48/24,534.62 = 9,784.50/x
  3. Step 3: Cross multiply
    16,356.48x = 24,534.62 × 9,784.50
  4. Step 4: Simplify right side
    16,356.48x = 240,058,989.39
  5. Step 5: Solve for x
    x = 240,058,989.39/16,356.48
  6. Step 6: Final answer
    x = 14,676.69

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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.