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Finding the Fourth Proportional to 14,113.94, 19,477.50 and 7,740.12

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Solution

The fourth proportional to 14,113.94, 19,477.50 and 7,740.12 is: 10,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.94 : 19,477.50 = 7,740.12 : x
  2. Step 2: Convert to fraction form
    14,113.94/19,477.50 = 7,740.12/x
  3. Step 3: Cross multiply
    14,113.94x = 19,477.50 × 7,740.12
  4. Step 4: Simplify right side
    14,113.94x = 150,758,216.64
  5. Step 5: Solve for x
    x = 150,758,216.64/14,113.94
  6. Step 6: Final answer
    x = 10,681.52

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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.