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Finding the Fourth Proportional to 13,030.27, 19,571.54 and 7,775.53

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Solution

The fourth proportional to 13,030.27, 19,571.54 and 7,775.53 is: 11,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.27 : 19,571.54 = 7,775.53 : x
  2. Step 2: Convert to fraction form
    13,030.27/19,571.54 = 7,775.53/x
  3. Step 3: Cross multiply
    13,030.27x = 19,571.54 × 7,775.53
  4. Step 4: Simplify right side
    13,030.27x = 152,179,008.61
  5. Step 5: Solve for x
    x = 152,179,008.61/13,030.27
  6. Step 6: Final answer
    x = 11,678.89

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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.