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Finding the Fourth Proportional to 16,783.61, 23,160.06 and 9,710.55

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Solution

The fourth proportional to 16,783.61, 23,160.06 and 9,710.55 is: 13,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.61 : 23,160.06 = 9,710.55 : x
  2. Step 2: Convert to fraction form
    16,783.61/23,160.06 = 9,710.55/x
  3. Step 3: Cross multiply
    16,783.61x = 23,160.06 × 9,710.55
  4. Step 4: Simplify right side
    16,783.61x = 224,896,920.63
  5. Step 5: Solve for x
    x = 224,896,920.63/16,783.61
  6. Step 6: Final answer
    x = 13,399.80

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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.