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Finding the Fourth Proportional to 24,646, 36,973.88 and 12,607.80

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Solution

The fourth proportional to 24,646, 36,973.88 and 12,607.80 is: 18,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646 : 36,973.88 = 12,607.80 : x
  2. Step 2: Convert to fraction form
    24,646/36,973.88 = 12,607.80/x
  3. Step 3: Cross multiply
    24,646x = 36,973.88 × 12,607.80
  4. Step 4: Simplify right side
    24,646x = 466,159,284.26
  5. Step 5: Solve for x
    x = 466,159,284.26/24,646
  6. Step 6: Final answer
    x = 18,914.20

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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.