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Finding the Fourth Proportional to 13,283.74, 19,925.64 and 7,437.16

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Solution

The fourth proportional to 13,283.74, 19,925.64 and 7,437.16 is: 11,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.74 : 19,925.64 = 7,437.16 : x
  2. Step 2: Convert to fraction form
    13,283.74/19,925.64 = 7,437.16/x
  3. Step 3: Cross multiply
    13,283.74x = 19,925.64 × 7,437.16
  4. Step 4: Simplify right side
    13,283.74x = 148,190,172.78
  5. Step 5: Solve for x
    x = 148,190,172.78/13,283.74
  6. Step 6: Final answer
    x = 11,155.76

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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.