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Finding the Fourth Proportional to 24,386.40, 36,577.98 and 9,607.14

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Solution

The fourth proportional to 24,386.40, 36,577.98 and 9,607.14 is: 14,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.40 : 36,577.98 = 9,607.14 : x
  2. Step 2: Convert to fraction form
    24,386.40/36,577.98 = 9,607.14/x
  3. Step 3: Cross multiply
    24,386.40x = 36,577.98 × 9,607.14
  4. Step 4: Simplify right side
    24,386.40x = 351,409,774.78
  5. Step 5: Solve for x
    x = 351,409,774.78/24,386.40
  6. Step 6: Final answer
    x = 14,410.07

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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.