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Finding the Fourth Proportional to 38,718.83, 58,055 and 13,410

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Solution

The fourth proportional to 38,718.83, 58,055 and 13,410 is: 20,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718.83 : 58,055 = 13,410 : x
  2. Step 2: Convert to fraction form
    38,718.83/58,055 = 13,410/x
  3. Step 3: Cross multiply
    38,718.83x = 58,055 × 13,410
  4. Step 4: Simplify right side
    38,718.83x = 778,517,550
  5. Step 5: Solve for x
    x = 778,517,550/38,718.83
  6. Step 6: Final answer
    x = 20,106.95

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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.