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Finding the Fourth Proportional to 28,271.10, 42,390 and 10,742.16

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Solution

The fourth proportional to 28,271.10, 42,390 and 10,742.16 is: 16,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,271.10 : 42,390 = 10,742.16 : x
  2. Step 2: Convert to fraction form
    28,271.10/42,390 = 10,742.16/x
  3. Step 3: Cross multiply
    28,271.10x = 42,390 × 10,742.16
  4. Step 4: Simplify right side
    28,271.10x = 455,360,162.40
  5. Step 5: Solve for x
    x = 455,360,162.40/28,271.10
  6. Step 6: Final answer
    x = 16,106.91

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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.