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Finding the Fourth Proportional to 23,258.40, 34,902 and 9,407.52

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Solution

The fourth proportional to 23,258.40, 34,902 and 9,407.52 is: 14,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.40 : 34,902 = 9,407.52 : x
  2. Step 2: Convert to fraction form
    23,258.40/34,902 = 9,407.52/x
  3. Step 3: Cross multiply
    23,258.40x = 34,902 × 9,407.52
  4. Step 4: Simplify right side
    23,258.40x = 328,341,263.04
  5. Step 5: Solve for x
    x = 328,341,263.04/23,258.40
  6. Step 6: Final answer
    x = 14,117.10

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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.