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Finding the Fourth Proportional to 14,328.02, 21,498.47 and 7,746.50

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Solution

The fourth proportional to 14,328.02, 21,498.47 and 7,746.50 is: 11,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.02 : 21,498.47 = 7,746.50 : x
  2. Step 2: Convert to fraction form
    14,328.02/21,498.47 = 7,746.50/x
  3. Step 3: Cross multiply
    14,328.02x = 21,498.47 × 7,746.50
  4. Step 4: Simplify right side
    14,328.02x = 166,537,897.86
  5. Step 5: Solve for x
    x = 166,537,897.86/14,328.02
  6. Step 6: Final answer
    x = 11,623.23

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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.