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Finding the Fourth Proportional to 15,774.65, 23,666.45 and 6,421.38

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Solution

The fourth proportional to 15,774.65, 23,666.45 and 6,421.38 is: 9,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.65 : 23,666.45 = 6,421.38 : x
  2. Step 2: Convert to fraction form
    15,774.65/23,666.45 = 6,421.38/x
  3. Step 3: Cross multiply
    15,774.65x = 23,666.45 × 6,421.38
  4. Step 4: Simplify right side
    15,774.65x = 151,971,248.63
  5. Step 5: Solve for x
    x = 151,971,248.63/15,774.65
  6. Step 6: Final answer
    x = 9,633.89

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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.