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Finding the Fourth Proportional to 21,417.93, 32,141.43 and 7,566.93

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Solution

The fourth proportional to 21,417.93, 32,141.43 and 7,566.93 is: 11,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.93 : 32,141.43 = 7,566.93 : x
  2. Step 2: Convert to fraction form
    21,417.93/32,141.43 = 7,566.93/x
  3. Step 3: Cross multiply
    21,417.93x = 32,141.43 × 7,566.93
  4. Step 4: Simplify right side
    21,417.93x = 243,211,950.91
  5. Step 5: Solve for x
    x = 243,211,950.91/21,417.93
  6. Step 6: Final answer
    x = 11,355.53

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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.