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Finding the Fourth Proportional to 14,000.30, 21,000.45 and 10,501.10

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Solution

The fourth proportional to 14,000.30, 21,000.45 and 10,501.10 is: 15,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.30 : 21,000.45 = 10,501.10 : x
  2. Step 2: Convert to fraction form
    14,000.30/21,000.45 = 10,501.10/x
  3. Step 3: Cross multiply
    14,000.30x = 21,000.45 × 10,501.10
  4. Step 4: Simplify right side
    14,000.30x = 220,527,825.50
  5. Step 5: Solve for x
    x = 220,527,825.50/14,000.30
  6. Step 6: Final answer
    x = 15,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.