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Finding the Fourth Proportional to 14,374.95, 21,536.78 and 7,796.94

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Solution

The fourth proportional to 14,374.95, 21,536.78 and 7,796.94 is: 11,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.95 : 21,536.78 = 7,796.94 : x
  2. Step 2: Convert to fraction form
    14,374.95/21,536.78 = 7,796.94/x
  3. Step 3: Cross multiply
    14,374.95x = 21,536.78 × 7,796.94
  4. Step 4: Simplify right side
    14,374.95x = 167,920,981.45
  5. Step 5: Solve for x
    x = 167,920,981.45/14,374.95
  6. Step 6: Final answer
    x = 11,681.50

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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.