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Finding the Fourth Proportional to 14,261.42, 19,681.62 and 7,973.84

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Solution

The fourth proportional to 14,261.42, 19,681.62 and 7,973.84 is: 11,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.42 : 19,681.62 = 7,973.84 : x
  2. Step 2: Convert to fraction form
    14,261.42/19,681.62 = 7,973.84/x
  3. Step 3: Cross multiply
    14,261.42x = 19,681.62 × 7,973.84
  4. Step 4: Simplify right side
    14,261.42x = 156,938,088.82
  5. Step 5: Solve for x
    x = 156,938,088.82/14,261.42
  6. Step 6: Final answer
    x = 11,004.38

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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.