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Finding the Fourth Proportional to 24,480, 36,725.76 and 10,629.12

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Solution

The fourth proportional to 24,480, 36,725.76 and 10,629.12 is: 15,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 36,725.76 = 10,629.12 : x
  2. Step 2: Convert to fraction form
    24,480/36,725.76 = 10,629.12/x
  3. Step 3: Cross multiply
    24,480x = 36,725.76 × 10,629.12
  4. Step 4: Simplify right side
    24,480x = 390,362,510.13
  5. Step 5: Solve for x
    x = 390,362,510.13/24,480
  6. Step 6: Final answer
    x = 15,946.18

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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.