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Finding the Fourth Proportional to 21,302.57, 29,374.47 and 14,501

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Solution

The fourth proportional to 21,302.57, 29,374.47 and 14,501 is: 19,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.57 : 29,374.47 = 14,501 : x
  2. Step 2: Convert to fraction form
    21,302.57/29,374.47 = 14,501/x
  3. Step 3: Cross multiply
    21,302.57x = 29,374.47 × 14,501
  4. Step 4: Simplify right side
    21,302.57x = 425,959,189.47
  5. Step 5: Solve for x
    x = 425,959,189.47/21,302.57
  6. Step 6: Final answer
    x = 19,995.67

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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.