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Finding the Fourth Proportional to 19,594.55, 29,391.93 and 9,731.52

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Solution

The fourth proportional to 19,594.55, 29,391.93 and 9,731.52 is: 14,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.55 : 29,391.93 = 9,731.52 : x
  2. Step 2: Convert to fraction form
    19,594.55/29,391.93 = 9,731.52/x
  3. Step 3: Cross multiply
    19,594.55x = 29,391.93 × 9,731.52
  4. Step 4: Simplify right side
    19,594.55x = 286,028,154.63
  5. Step 5: Solve for x
    x = 286,028,154.63/19,594.55
  6. Step 6: Final answer
    x = 14,597.34

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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.