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Finding the Fourth Proportional to 29,830.14, 44,712.40 and 12,290.40

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Solution

The fourth proportional to 29,830.14, 44,712.40 and 12,290.40 is: 18,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.14 : 44,712.40 = 12,290.40 : x
  2. Step 2: Convert to fraction form
    29,830.14/44,712.40 = 12,290.40/x
  3. Step 3: Cross multiply
    29,830.14x = 44,712.40 × 12,290.40
  4. Step 4: Simplify right side
    29,830.14x = 549,533,280.96
  5. Step 5: Solve for x
    x = 549,533,280.96/29,830.14
  6. Step 6: Final answer
    x = 18,422.08

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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.