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Finding the Fourth Proportional to 16,378.88, 22,592.80 and 10,406.08

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Solution

The fourth proportional to 16,378.88, 22,592.80 and 10,406.08 is: 14,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.88 : 22,592.80 = 10,406.08 : x
  2. Step 2: Convert to fraction form
    16,378.88/22,592.80 = 10,406.08/x
  3. Step 3: Cross multiply
    16,378.88x = 22,592.80 × 10,406.08
  4. Step 4: Simplify right side
    16,378.88x = 235,102,484.22
  5. Step 5: Solve for x
    x = 235,102,484.22/16,378.88
  6. Step 6: Final answer
    x = 14,354.00

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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.