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Finding the Fourth Proportional to 12,565.95, 18,848.01 and 5,070

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Solution

The fourth proportional to 12,565.95, 18,848.01 and 5,070 is: 7,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.95 : 18,848.01 = 5,070 : x
  2. Step 2: Convert to fraction form
    12,565.95/18,848.01 = 5,070/x
  3. Step 3: Cross multiply
    12,565.95x = 18,848.01 × 5,070
  4. Step 4: Simplify right side
    12,565.95x = 95,559,410.70
  5. Step 5: Solve for x
    x = 95,559,410.70/12,565.95
  6. Step 6: Final answer
    x = 7,604.63

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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.