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Finding the Fourth Proportional to 26,358, 36,373.71 and 14,421.16

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Solution

The fourth proportional to 26,358, 36,373.71 and 14,421.16 is: 19,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 36,373.71 = 14,421.16 : x
  2. Step 2: Convert to fraction form
    26,358/36,373.71 = 14,421.16/x
  3. Step 3: Cross multiply
    26,358x = 36,373.71 × 14,421.16
  4. Step 4: Simplify right side
    26,358x = 524,551,091.70
  5. Step 5: Solve for x
    x = 524,551,091.70/26,358
  6. Step 6: Final answer
    x = 19,901.02

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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.