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Finding the Fourth Proportional to 19,712.34, 29,568.54 and 6,565.74

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Solution

The fourth proportional to 19,712.34, 29,568.54 and 6,565.74 is: 9,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.34 : 29,568.54 = 6,565.74 : x
  2. Step 2: Convert to fraction form
    19,712.34/29,568.54 = 6,565.74/x
  3. Step 3: Cross multiply
    19,712.34x = 29,568.54 × 6,565.74
  4. Step 4: Simplify right side
    19,712.34x = 194,139,345.82
  5. Step 5: Solve for x
    x = 194,139,345.82/19,712.34
  6. Step 6: Final answer
    x = 9,848.62

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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.