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Finding the Fourth Proportional to 14,699.44, 22,047 and 4,838.32

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Solution

The fourth proportional to 14,699.44, 22,047 and 4,838.32 is: 7,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.44 : 22,047 = 4,838.32 : x
  2. Step 2: Convert to fraction form
    14,699.44/22,047 = 4,838.32/x
  3. Step 3: Cross multiply
    14,699.44x = 22,047 × 4,838.32
  4. Step 4: Simplify right side
    14,699.44x = 106,670,441.04
  5. Step 5: Solve for x
    x = 106,670,441.04/14,699.44
  6. Step 6: Final answer
    x = 7,256.77

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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.