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Finding the Fourth Proportional to 24,348.34, 36,536.80 and 10,307.50

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Solution

The fourth proportional to 24,348.34, 36,536.80 and 10,307.50 is: 15,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.34 : 36,536.80 = 10,307.50 : x
  2. Step 2: Convert to fraction form
    24,348.34/36,536.80 = 10,307.50/x
  3. Step 3: Cross multiply
    24,348.34x = 36,536.80 × 10,307.50
  4. Step 4: Simplify right side
    24,348.34x = 376,603,066.00
  5. Step 5: Solve for x
    x = 376,603,066.00/24,348.34
  6. Step 6: Final answer
    x = 15,467.30

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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.