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Finding the Fourth Proportional to 15,658.88, 23,488.74 and 4,565.30

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Solution

The fourth proportional to 15,658.88, 23,488.74 and 4,565.30 is: 6,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.88 : 23,488.74 = 4,565.30 : x
  2. Step 2: Convert to fraction form
    15,658.88/23,488.74 = 4,565.30/x
  3. Step 3: Cross multiply
    15,658.88x = 23,488.74 × 4,565.30
  4. Step 4: Simplify right side
    15,658.88x = 107,233,027.28
  5. Step 5: Solve for x
    x = 107,233,027.28/15,658.88
  6. Step 6: Final answer
    x = 6,848.07

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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.