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Finding the Fourth Proportional to 14,973.50, 22,460.26 and 4,585.26

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Solution

The fourth proportional to 14,973.50, 22,460.26 and 4,585.26 is: 6,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.50 : 22,460.26 = 4,585.26 : x
  2. Step 2: Convert to fraction form
    14,973.50/22,460.26 = 4,585.26/x
  3. Step 3: Cross multiply
    14,973.50x = 22,460.26 × 4,585.26
  4. Step 4: Simplify right side
    14,973.50x = 102,986,131.77
  5. Step 5: Solve for x
    x = 102,986,131.77/14,973.50
  6. Step 6: Final answer
    x = 6,877.89

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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.