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Finding the Fourth Proportional to 28,030.32, 42,063.68 and 10,500

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Solution

The fourth proportional to 28,030.32, 42,063.68 and 10,500 is: 15,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,030.32 : 42,063.68 = 10,500 : x
  2. Step 2: Convert to fraction form
    28,030.32/42,063.68 = 10,500/x
  3. Step 3: Cross multiply
    28,030.32x = 42,063.68 × 10,500
  4. Step 4: Simplify right side
    28,030.32x = 441,668,640
  5. Step 5: Solve for x
    x = 441,668,640/28,030.32
  6. Step 6: Final answer
    x = 15,756.82

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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.