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Finding the Fourth Proportional to 12,503.18, 18,746.40 and 5,105.63

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Solution

The fourth proportional to 12,503.18, 18,746.40 and 5,105.63 is: 7,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.18 : 18,746.40 = 5,105.63 : x
  2. Step 2: Convert to fraction form
    12,503.18/18,746.40 = 5,105.63/x
  3. Step 3: Cross multiply
    12,503.18x = 18,746.40 × 5,105.63
  4. Step 4: Simplify right side
    12,503.18x = 95,712,182.23
  5. Step 5: Solve for x
    x = 95,712,182.23/12,503.18
  6. Step 6: Final answer
    x = 7,655.03

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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.