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Finding the Fourth Proportional to 21,547.48, 29,726.10 and 13,159

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Solution

The fourth proportional to 21,547.48, 29,726.10 and 13,159 is: 18,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.48 : 29,726.10 = 13,159 : x
  2. Step 2: Convert to fraction form
    21,547.48/29,726.10 = 13,159/x
  3. Step 3: Cross multiply
    21,547.48x = 29,726.10 × 13,159
  4. Step 4: Simplify right side
    21,547.48x = 391,165,749.90
  5. Step 5: Solve for x
    x = 391,165,749.90/21,547.48
  6. Step 6: Final answer
    x = 18,153.67

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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.