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Finding the Fourth Proportional to 34,653, 52,002.54 and 12,765

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Solution

The fourth proportional to 34,653, 52,002.54 and 12,765 is: 19,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653 : 52,002.54 = 12,765 : x
  2. Step 2: Convert to fraction form
    34,653/52,002.54 = 12,765/x
  3. Step 3: Cross multiply
    34,653x = 52,002.54 × 12,765
  4. Step 4: Simplify right side
    34,653x = 663,812,423.10
  5. Step 5: Solve for x
    x = 663,812,423.10/34,653
  6. Step 6: Final answer
    x = 19,155.99

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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.