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Finding the Fourth Proportional to 14,202.23, 19,598.54 and 7,828.52

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Solution

The fourth proportional to 14,202.23, 19,598.54 and 7,828.52 is: 10,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.23 : 19,598.54 = 7,828.52 : x
  2. Step 2: Convert to fraction form
    14,202.23/19,598.54 = 7,828.52/x
  3. Step 3: Cross multiply
    14,202.23x = 19,598.54 × 7,828.52
  4. Step 4: Simplify right side
    14,202.23x = 153,427,425.23
  5. Step 5: Solve for x
    x = 153,427,425.23/14,202.23
  6. Step 6: Final answer
    x = 10,803.06

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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.