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Finding the Fourth Proportional to 14,653.77, 21,984.11 and 4,793.01

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Solution

The fourth proportional to 14,653.77, 21,984.11 and 4,793.01 is: 7,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.77 : 21,984.11 = 4,793.01 : x
  2. Step 2: Convert to fraction form
    14,653.77/21,984.11 = 4,793.01/x
  3. Step 3: Cross multiply
    14,653.77x = 21,984.11 × 4,793.01
  4. Step 4: Simplify right side
    14,653.77x = 105,369,925.19
  5. Step 5: Solve for x
    x = 105,369,925.19/14,653.77
  6. Step 6: Final answer
    x = 7,190.64

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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.