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Finding the Fourth Proportional to 26,417, 36,457.08 and 15,239

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Solution

The fourth proportional to 26,417, 36,457.08 and 15,239 is: 21,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,417 : 36,457.08 = 15,239 : x
  2. Step 2: Convert to fraction form
    26,417/36,457.08 = 15,239/x
  3. Step 3: Cross multiply
    26,417x = 36,457.08 × 15,239
  4. Step 4: Simplify right side
    26,417x = 555,569,442.12
  5. Step 5: Solve for x
    x = 555,569,442.12/26,417
  6. Step 6: Final answer
    x = 21,030.75

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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.