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Finding the Fourth Proportional to 23,046.81, 31,802.16 and 12,975.08

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Solution

The fourth proportional to 23,046.81, 31,802.16 and 12,975.08 is: 17,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.81 : 31,802.16 = 12,975.08 : x
  2. Step 2: Convert to fraction form
    23,046.81/31,802.16 = 12,975.08/x
  3. Step 3: Cross multiply
    23,046.81x = 31,802.16 × 12,975.08
  4. Step 4: Simplify right side
    23,046.81x = 412,635,411.16
  5. Step 5: Solve for x
    x = 412,635,411.16/23,046.81
  6. Step 6: Final answer
    x = 17,904.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.