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Finding the Fourth Proportional to 14,752, 22,128.04 and 3,808

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Solution

The fourth proportional to 14,752, 22,128.04 and 3,808 is: 5,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752 : 22,128.04 = 3,808 : x
  2. Step 2: Convert to fraction form
    14,752/22,128.04 = 3,808/x
  3. Step 3: Cross multiply
    14,752x = 22,128.04 × 3,808
  4. Step 4: Simplify right side
    14,752x = 84,263,576.32
  5. Step 5: Solve for x
    x = 84,263,576.32/14,752
  6. Step 6: Final answer
    x = 5,712.01

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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.