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Finding the Fourth Proportional to 24,503.04, 36,733.80 and 9,722.40

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Solution

The fourth proportional to 24,503.04, 36,733.80 and 9,722.40 is: 14,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.04 : 36,733.80 = 9,722.40 : x
  2. Step 2: Convert to fraction form
    24,503.04/36,733.80 = 9,722.40/x
  3. Step 3: Cross multiply
    24,503.04x = 36,733.80 × 9,722.40
  4. Step 4: Simplify right side
    24,503.04x = 357,140,697.12
  5. Step 5: Solve for x
    x = 357,140,697.12/24,503.04
  6. Step 6: Final answer
    x = 14,575.36

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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.