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Finding the Fourth Proportional to 14,897.40, 22,346.10 and 6,129.40

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Solution

The fourth proportional to 14,897.40, 22,346.10 and 6,129.40 is: 9,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.40 : 22,346.10 = 6,129.40 : x
  2. Step 2: Convert to fraction form
    14,897.40/22,346.10 = 6,129.40/x
  3. Step 3: Cross multiply
    14,897.40x = 22,346.10 × 6,129.40
  4. Step 4: Simplify right side
    14,897.40x = 136,968,185.34
  5. Step 5: Solve for x
    x = 136,968,185.34/14,897.40
  6. Step 6: Final answer
    x = 9,194.10

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