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Finding the Fourth Proportional to 19,445.68, 29,182.64 and 7,762.24

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Solution

The fourth proportional to 19,445.68, 29,182.64 and 7,762.24 is: 11,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,445.68 : 29,182.64 = 7,762.24 : x
  2. Step 2: Convert to fraction form
    19,445.68/29,182.64 = 7,762.24/x
  3. Step 3: Cross multiply
    19,445.68x = 29,182.64 × 7,762.24
  4. Step 4: Simplify right side
    19,445.68x = 226,522,655.51
  5. Step 5: Solve for x
    x = 226,522,655.51/19,445.68
  6. Step 6: Final answer
    x = 11,649.00

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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.