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Finding the Fourth Proportional to 28,696.32, 43,048.80 and 10,224

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Solution

The fourth proportional to 28,696.32, 43,048.80 and 10,224 is: 15,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,696.32 : 43,048.80 = 10,224 : x
  2. Step 2: Convert to fraction form
    28,696.32/43,048.80 = 10,224/x
  3. Step 3: Cross multiply
    28,696.32x = 43,048.80 × 10,224
  4. Step 4: Simplify right side
    28,696.32x = 440,130,931.20
  5. Step 5: Solve for x
    x = 440,130,931.20/28,696.32
  6. Step 6: Final answer
    x = 15,337.54

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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.