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Finding the Fourth Proportional to 19,543.84, 26,970.52 and 11,590

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Solution

The fourth proportional to 19,543.84, 26,970.52 and 11,590 is: 15,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.84 : 26,970.52 = 11,590 : x
  2. Step 2: Convert to fraction form
    19,543.84/26,970.52 = 11,590/x
  3. Step 3: Cross multiply
    19,543.84x = 26,970.52 × 11,590
  4. Step 4: Simplify right side
    19,543.84x = 312,588,326.80
  5. Step 5: Solve for x
    x = 312,588,326.80/19,543.84
  6. Step 6: Final answer
    x = 15,994.21

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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.