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Finding the Fourth Proportional to 26,246, 36,219.48 and 14,470

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Solution

The fourth proportional to 26,246, 36,219.48 and 14,470 is: 19,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,246 : 36,219.48 = 14,470 : x
  2. Step 2: Convert to fraction form
    26,246/36,219.48 = 14,470/x
  3. Step 3: Cross multiply
    26,246x = 36,219.48 × 14,470
  4. Step 4: Simplify right side
    26,246x = 524,095,875.60
  5. Step 5: Solve for x
    x = 524,095,875.60/26,246
  6. Step 6: Final answer
    x = 19,968.60

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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.