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Finding the Fourth Proportional to 23,547.84, 35,325.60 and 7,128

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Solution

The fourth proportional to 23,547.84, 35,325.60 and 7,128 is: 10,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.84 : 35,325.60 = 7,128 : x
  2. Step 2: Convert to fraction form
    23,547.84/35,325.60 = 7,128/x
  3. Step 3: Cross multiply
    23,547.84x = 35,325.60 × 7,128
  4. Step 4: Simplify right side
    23,547.84x = 251,800,876.80
  5. Step 5: Solve for x
    x = 251,800,876.80/23,547.84
  6. Step 6: Final answer
    x = 10,693.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.