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Finding the Fourth Proportional to 24,300.16, 36,456 and 9,510.40

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Solution

The fourth proportional to 24,300.16, 36,456 and 9,510.40 is: 14,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300.16 : 36,456 = 9,510.40 : x
  2. Step 2: Convert to fraction form
    24,300.16/36,456 = 9,510.40/x
  3. Step 3: Cross multiply
    24,300.16x = 36,456 × 9,510.40
  4. Step 4: Simplify right side
    24,300.16x = 346,711,142.40
  5. Step 5: Solve for x
    x = 346,711,142.40/24,300.16
  6. Step 6: Final answer
    x = 14,267.85

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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.