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Finding the Fourth Proportional to 13,307.37, 19,954.71 and 7,762.38

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Solution

The fourth proportional to 13,307.37, 19,954.71 and 7,762.38 is: 11,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.37 : 19,954.71 = 7,762.38 : x
  2. Step 2: Convert to fraction form
    13,307.37/19,954.71 = 7,762.38/x
  3. Step 3: Cross multiply
    13,307.37x = 19,954.71 × 7,762.38
  4. Step 4: Simplify right side
    13,307.37x = 154,896,041.81
  5. Step 5: Solve for x
    x = 154,896,041.81/13,307.37
  6. Step 6: Final answer
    x = 11,639.87

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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.