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Finding the Fourth Proportional to 18,133.20, 25,026.98 and 10,584

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Solution

The fourth proportional to 18,133.20, 25,026.98 and 10,584 is: 14,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.20 : 25,026.98 = 10,584 : x
  2. Step 2: Convert to fraction form
    18,133.20/25,026.98 = 10,584/x
  3. Step 3: Cross multiply
    18,133.20x = 25,026.98 × 10,584
  4. Step 4: Simplify right side
    18,133.20x = 264,885,503.40
  5. Step 5: Solve for x
    x = 264,885,503.40/18,133.20
  6. Step 6: Final answer
    x = 14,607.76

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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.