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Finding the Fourth Proportional to 24,303.84, 36,459.60 and 7,884

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Solution

The fourth proportional to 24,303.84, 36,459.60 and 7,884 is: 11,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,303.84 : 36,459.60 = 7,884 : x
  2. Step 2: Convert to fraction form
    24,303.84/36,459.60 = 7,884/x
  3. Step 3: Cross multiply
    24,303.84x = 36,459.60 × 7,884
  4. Step 4: Simplify right side
    24,303.84x = 287,447,486.40
  5. Step 5: Solve for x
    x = 287,447,486.40/24,303.84
  6. Step 6: Final answer
    x = 11,827.25

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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.