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Finding the Fourth Proportional to 13,202.54, 19,807.45 and 5,307.46

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Solution

The fourth proportional to 13,202.54, 19,807.45 and 5,307.46 is: 7,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.54 : 19,807.45 = 5,307.46 : x
  2. Step 2: Convert to fraction form
    13,202.54/19,807.45 = 5,307.46/x
  3. Step 3: Cross multiply
    13,202.54x = 19,807.45 × 5,307.46
  4. Step 4: Simplify right side
    13,202.54x = 105,127,248.58
  5. Step 5: Solve for x
    x = 105,127,248.58/13,202.54
  6. Step 6: Final answer
    x = 7,962.65

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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.