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Finding the Fourth Proportional to 24,192.84, 36,281.58 and 7,773

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Solution

The fourth proportional to 24,192.84, 36,281.58 and 7,773 is: 11,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192.84 : 36,281.58 = 7,773 : x
  2. Step 2: Convert to fraction form
    24,192.84/36,281.58 = 7,773/x
  3. Step 3: Cross multiply
    24,192.84x = 36,281.58 × 7,773
  4. Step 4: Simplify right side
    24,192.84x = 282,016,721.34
  5. Step 5: Solve for x
    x = 282,016,721.34/24,192.84
  6. Step 6: Final answer
    x = 11,657.03

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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.