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Finding the Fourth Proportional to 18,853.50, 26,018.64 and 10,470

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Solution

The fourth proportional to 18,853.50, 26,018.64 and 10,470 is: 14,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.50 : 26,018.64 = 10,470 : x
  2. Step 2: Convert to fraction form
    18,853.50/26,018.64 = 10,470/x
  3. Step 3: Cross multiply
    18,853.50x = 26,018.64 × 10,470
  4. Step 4: Simplify right side
    18,853.50x = 272,415,160.80
  5. Step 5: Solve for x
    x = 272,415,160.80/18,853.50
  6. Step 6: Final answer
    x = 14,449.05

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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.