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Finding the Fourth Proportional to 21,703.96, 32,566.07 and 7,674.62

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Solution

The fourth proportional to 21,703.96, 32,566.07 and 7,674.62 is: 11,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.96 : 32,566.07 = 7,674.62 : x
  2. Step 2: Convert to fraction form
    21,703.96/32,566.07 = 7,674.62/x
  3. Step 3: Cross multiply
    21,703.96x = 32,566.07 × 7,674.62
  4. Step 4: Simplify right side
    21,703.96x = 249,932,068.50
  5. Step 5: Solve for x
    x = 249,932,068.50/21,703.96
  6. Step 6: Final answer
    x = 11,515.50

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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.