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Finding the Fourth Proportional to 14,521.50, 21,782.52 and 4,133.52

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Solution

The fourth proportional to 14,521.50, 21,782.52 and 4,133.52 is: 6,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.50 : 21,782.52 = 4,133.52 : x
  2. Step 2: Convert to fraction form
    14,521.50/21,782.52 = 4,133.52/x
  3. Step 3: Cross multiply
    14,521.50x = 21,782.52 × 4,133.52
  4. Step 4: Simplify right side
    14,521.50x = 90,038,482.07
  5. Step 5: Solve for x
    x = 90,038,482.07/14,521.50
  6. Step 6: Final answer
    x = 6,200.36

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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.