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Finding the Fourth Proportional to 19,897.44, 29,852.64 and 9,510

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Solution

The fourth proportional to 19,897.44, 29,852.64 and 9,510 is: 14,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.44 : 29,852.64 = 9,510 : x
  2. Step 2: Convert to fraction form
    19,897.44/29,852.64 = 9,510/x
  3. Step 3: Cross multiply
    19,897.44x = 29,852.64 × 9,510
  4. Step 4: Simplify right side
    19,897.44x = 283,898,606.40
  5. Step 5: Solve for x
    x = 283,898,606.40/19,897.44
  6. Step 6: Final answer
    x = 14,268.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.