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Finding the Fourth Proportional to 14,347.84, 21,502.32 and 7,427.20

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Solution

The fourth proportional to 14,347.84, 21,502.32 and 7,427.20 is: 11,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.84 : 21,502.32 = 7,427.20 : x
  2. Step 2: Convert to fraction form
    14,347.84/21,502.32 = 7,427.20/x
  3. Step 3: Cross multiply
    14,347.84x = 21,502.32 × 7,427.20
  4. Step 4: Simplify right side
    14,347.84x = 159,702,031.10
  5. Step 5: Solve for x
    x = 159,702,031.10/14,347.84
  6. Step 6: Final answer
    x = 11,130.74

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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.