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Finding the Fourth Proportional to 19,390.34, 29,083.88 and 7,700.42

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Solution

The fourth proportional to 19,390.34, 29,083.88 and 7,700.42 is: 11,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,390.34 : 29,083.88 = 7,700.42 : x
  2. Step 2: Convert to fraction form
    19,390.34/29,083.88 = 7,700.42/x
  3. Step 3: Cross multiply
    19,390.34x = 29,083.88 × 7,700.42
  4. Step 4: Simplify right side
    19,390.34x = 223,957,907.31
  5. Step 5: Solve for x
    x = 223,957,907.31/19,390.34
  6. Step 6: Final answer
    x = 11,549.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.