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Finding the Fourth Proportional to 14,177.74, 19,564.45 and 7,803.25

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Solution

The fourth proportional to 14,177.74, 19,564.45 and 7,803.25 is: 10,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.74 : 19,564.45 = 7,803.25 : x
  2. Step 2: Convert to fraction form
    14,177.74/19,564.45 = 7,803.25/x
  3. Step 3: Cross multiply
    14,177.74x = 19,564.45 × 7,803.25
  4. Step 4: Simplify right side
    14,177.74x = 152,666,294.46
  5. Step 5: Solve for x
    x = 152,666,294.46/14,177.74
  6. Step 6: Final answer
    x = 10,768.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.