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Finding the Fourth Proportional to 22,492.61, 31,038.77 and 12,420.57

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Solution

The fourth proportional to 22,492.61, 31,038.77 and 12,420.57 is: 17,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.61 : 31,038.77 = 12,420.57 : x
  2. Step 2: Convert to fraction form
    22,492.61/31,038.77 = 12,420.57/x
  3. Step 3: Cross multiply
    22,492.61x = 31,038.77 × 12,420.57
  4. Step 4: Simplify right side
    22,492.61x = 385,519,066.12
  5. Step 5: Solve for x
    x = 385,519,066.12/22,492.61
  6. Step 6: Final answer
    x = 17,139.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.