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Finding the Fourth Proportional to 26,152, 36,089.76 and 14,376

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Solution

The fourth proportional to 26,152, 36,089.76 and 14,376 is: 19,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,152 : 36,089.76 = 14,376 : x
  2. Step 2: Convert to fraction form
    26,152/36,089.76 = 14,376/x
  3. Step 3: Cross multiply
    26,152x = 36,089.76 × 14,376
  4. Step 4: Simplify right side
    26,152x = 518,826,389.76
  5. Step 5: Solve for x
    x = 518,826,389.76/26,152
  6. Step 6: Final answer
    x = 19,838.88

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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.