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Finding the Fourth Proportional to 14,216.22, 21,323.70 and 7,655.22

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Solution

The fourth proportional to 14,216.22, 21,323.70 and 7,655.22 is: 11,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.22 : 21,323.70 = 7,655.22 : x
  2. Step 2: Convert to fraction form
    14,216.22/21,323.70 = 7,655.22/x
  3. Step 3: Cross multiply
    14,216.22x = 21,323.70 × 7,655.22
  4. Step 4: Simplify right side
    14,216.22x = 163,237,614.71
  5. Step 5: Solve for x
    x = 163,237,614.71/14,216.22
  6. Step 6: Final answer
    x = 11,482.49

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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.