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Finding the Fourth Proportional to 24,506.10, 36,748.35 and 9,710.10

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Solution

The fourth proportional to 24,506.10, 36,748.35 and 9,710.10 is: 14,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.10 : 36,748.35 = 9,710.10 : x
  2. Step 2: Convert to fraction form
    24,506.10/36,748.35 = 9,710.10/x
  3. Step 3: Cross multiply
    24,506.10x = 36,748.35 × 9,710.10
  4. Step 4: Simplify right side
    24,506.10x = 356,830,153.34
  5. Step 5: Solve for x
    x = 356,830,153.34/24,506.10
  6. Step 6: Final answer
    x = 14,560.87

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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.