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Finding the Fourth Proportional to 14,374, 19,840.98 and 10,194.40

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Solution

The fourth proportional to 14,374, 19,840.98 and 10,194.40 is: 14,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374 : 19,840.98 = 10,194.40 : x
  2. Step 2: Convert to fraction form
    14,374/19,840.98 = 10,194.40/x
  3. Step 3: Cross multiply
    14,374x = 19,840.98 × 10,194.40
  4. Step 4: Simplify right side
    14,374x = 202,266,886.51
  5. Step 5: Solve for x
    x = 202,266,886.51/14,374
  6. Step 6: Final answer
    x = 14,071.72

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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.