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Finding the Fourth Proportional to 14,184.76, 19,574.58 and 7,897

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Solution

The fourth proportional to 14,184.76, 19,574.58 and 7,897 is: 10,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.76 : 19,574.58 = 7,897 : x
  2. Step 2: Convert to fraction form
    14,184.76/19,574.58 = 7,897/x
  3. Step 3: Cross multiply
    14,184.76x = 19,574.58 × 7,897
  4. Step 4: Simplify right side
    14,184.76x = 154,580,458.26
  5. Step 5: Solve for x
    x = 154,580,458.26/14,184.76
  6. Step 6: Final answer
    x = 10,897.64

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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.