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Finding the Fourth Proportional to 23,527.71, 35,298.45 and 9,480.49

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Solution

The fourth proportional to 23,527.71, 35,298.45 and 9,480.49 is: 14,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.71 : 35,298.45 = 9,480.49 : x
  2. Step 2: Convert to fraction form
    23,527.71/35,298.45 = 9,480.49/x
  3. Step 3: Cross multiply
    23,527.71x = 35,298.45 × 9,480.49
  4. Step 4: Simplify right side
    23,527.71x = 334,646,602.24
  5. Step 5: Solve for x
    x = 334,646,602.24/23,527.71
  6. Step 6: Final answer
    x = 14,223.51

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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.