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Finding the Fourth Proportional to 12,547.45, 18,894.53 and 9,283.51

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Solution

The fourth proportional to 12,547.45, 18,894.53 and 9,283.51 is: 13,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.45 : 18,894.53 = 9,283.51 : x
  2. Step 2: Convert to fraction form
    12,547.45/18,894.53 = 9,283.51/x
  3. Step 3: Cross multiply
    12,547.45x = 18,894.53 × 9,283.51
  4. Step 4: Simplify right side
    12,547.45x = 175,407,558.20
  5. Step 5: Solve for x
    x = 175,407,558.20/12,547.45
  6. Step 6: Final answer
    x = 13,979.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.