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Finding the Fourth Proportional to 16,544.84, 22,829.46 and 9,830.75

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Solution

The fourth proportional to 16,544.84, 22,829.46 and 9,830.75 is: 13,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.84 : 22,829.46 = 9,830.75 : x
  2. Step 2: Convert to fraction form
    16,544.84/22,829.46 = 9,830.75/x
  3. Step 3: Cross multiply
    16,544.84x = 22,829.46 × 9,830.75
  4. Step 4: Simplify right side
    16,544.84x = 224,430,734.10
  5. Step 5: Solve for x
    x = 224,430,734.10/16,544.84
  6. Step 6: Final answer
    x = 13,565.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.