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Finding the Fourth Proportional to 26,523, 36,601.74 and 14,587.11

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Solution

The fourth proportional to 26,523, 36,601.74 and 14,587.11 is: 20,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523 : 36,601.74 = 14,587.11 : x
  2. Step 2: Convert to fraction form
    26,523/36,601.74 = 14,587.11/x
  3. Step 3: Cross multiply
    26,523x = 36,601.74 × 14,587.11
  4. Step 4: Simplify right side
    26,523x = 533,913,607.57
  5. Step 5: Solve for x
    x = 533,913,607.57/26,523
  6. Step 6: Final answer
    x = 20,130.21

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1.5x scale

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.