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Finding the Fourth Proportional to 21,461.02, 29,614.92 and 12,509.98

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Solution

The fourth proportional to 21,461.02, 29,614.92 and 12,509.98 is: 17,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.02 : 29,614.92 = 12,509.98 : x
  2. Step 2: Convert to fraction form
    21,461.02/29,614.92 = 12,509.98/x
  3. Step 3: Cross multiply
    21,461.02x = 29,614.92 × 12,509.98
  4. Step 4: Simplify right side
    21,461.02x = 370,482,056.90
  5. Step 5: Solve for x
    x = 370,482,056.90/21,461.02
  6. Step 6: Final answer
    x = 17,263.02

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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.