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Finding the Fourth Proportional to 14,117.76, 19,482.93 and 7,830

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Solution

The fourth proportional to 14,117.76, 19,482.93 and 7,830 is: 10,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.76 : 19,482.93 = 7,830 : x
  2. Step 2: Convert to fraction form
    14,117.76/19,482.93 = 7,830/x
  3. Step 3: Cross multiply
    14,117.76x = 19,482.93 × 7,830
  4. Step 4: Simplify right side
    14,117.76x = 152,551,341.90
  5. Step 5: Solve for x
    x = 152,551,341.90/14,117.76
  6. Step 6: Final answer
    x = 10,805.63

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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.