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Finding the Fourth Proportional to 12,875.70, 19,313.55 and 9,117.30

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Solution

The fourth proportional to 12,875.70, 19,313.55 and 9,117.30 is: 13,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.70 : 19,313.55 = 9,117.30 : x
  2. Step 2: Convert to fraction form
    12,875.70/19,313.55 = 9,117.30/x
  3. Step 3: Cross multiply
    12,875.70x = 19,313.55 × 9,117.30
  4. Step 4: Simplify right side
    12,875.70x = 176,087,429.42
  5. Step 5: Solve for x
    x = 176,087,429.42/12,875.70
  6. Step 6: Final answer
    x = 13,675.95

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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.