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Finding the Fourth Proportional to 14,381.78, 21,457.14 and 12,803.04

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Solution

The fourth proportional to 14,381.78, 21,457.14 and 12,803.04 is: 19,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.78 : 21,457.14 = 12,803.04 : x
  2. Step 2: Convert to fraction form
    14,381.78/21,457.14 = 12,803.04/x
  3. Step 3: Cross multiply
    14,381.78x = 21,457.14 × 12,803.04
  4. Step 4: Simplify right side
    14,381.78x = 274,716,621.71
  5. Step 5: Solve for x
    x = 274,716,621.71/14,381.78
  6. Step 6: Final answer
    x = 19,101.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.