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Finding the Fourth Proportional to 24,624, 36,941.47 and 9,041.63

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Solution

The fourth proportional to 24,624, 36,941.47 and 9,041.63 is: 13,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 36,941.47 = 9,041.63 : x
  2. Step 2: Convert to fraction form
    24,624/36,941.47 = 9,041.63/x
  3. Step 3: Cross multiply
    24,624x = 36,941.47 × 9,041.63
  4. Step 4: Simplify right side
    24,624x = 334,010,896.08
  5. Step 5: Solve for x
    x = 334,010,896.08/24,624
  6. Step 6: Final answer
    x = 13,564.45

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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.