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Finding the Fourth Proportional to 15,776.94, 23,630.64 and 13,041.07

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Solution

The fourth proportional to 15,776.94, 23,630.64 and 13,041.07 is: 19,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.94 : 23,630.64 = 13,041.07 : x
  2. Step 2: Convert to fraction form
    15,776.94/23,630.64 = 13,041.07/x
  3. Step 3: Cross multiply
    15,776.94x = 23,630.64 × 13,041.07
  4. Step 4: Simplify right side
    15,776.94x = 308,168,712.23
  5. Step 5: Solve for x
    x = 308,168,712.23/15,776.94
  6. Step 6: Final answer
    x = 19,532.86

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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.