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Finding the Fourth Proportional to 19,526.41, 29,306.36 and 7,848.01

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Solution

The fourth proportional to 19,526.41, 29,306.36 and 7,848.01 is: 11,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526.41 : 29,306.36 = 7,848.01 : x
  2. Step 2: Convert to fraction form
    19,526.41/29,306.36 = 7,848.01/x
  3. Step 3: Cross multiply
    19,526.41x = 29,306.36 × 7,848.01
  4. Step 4: Simplify right side
    19,526.41x = 229,996,567.10
  5. Step 5: Solve for x
    x = 229,996,567.10/19,526.41
  6. Step 6: Final answer
    x = 11,778.74

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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.